Solve Linear Inequalities

The course introduces the concept to write and graph linear inequalities. It discusses how to identify linear inequalities and check solutions using graph. The course includes how to solve general linear inequalities, inequalities that involve absolute value, compound linear inequalities with the statements "and", "or" and to express the solutions graphically on a number line and in interval notation. The course also includes how to solve an inequality using addition and subtraction, multiplication and division and the procedure to solve multi-step inequalities. The course also covers how to approach applications-based problems involving linear inequalities and to interpret the results.

6 topics

235 lectures

Educators

Course Curriculum

Introduction to Algebra

60 videos

Linear Functions

35 videos

Solve Linear Inequalities

35 videos

20 videos

Graph Linear Functions

40 videos

Write Linear Equations

45 videos

Solve Linear Inequalities Lectures

Solve Linear Inequalities

Graphing and Writing Inequalities - Example 1

In mathematics, an inequality is a statement that one number, quantity, or set is less than or greater than another number, quantity, or set. The notation a ? b means that a is less than or equal to b.

Julie Silva

Solve Linear Inequalities

Graphing and Writing Inequalities - Example 2

In mathematics, an inequality is a statement that one number, quantity, or set is less than or greater than another number, quantity, or set. The notation a ? b means that a is less than or equal to b.

Julie Silva

Solve Linear Inequalities

Graphing and Writing Inequalities - Example 3

In mathematics, an inequality is a statement that one number, quantity, or set is less than or greater than another number, quantity, or set. The notation a ? b means that a is less than or equal to b.

Julie Silva

Solve Linear Inequalities

Graphing and Writing Inequalities - Example 4

In mathematics, an inequality is a statement that one number, quantity, or set is less than or greater than another number, quantity, or set. The notation a ? b means that a is less than or equal to b.

Julie Silva

Solve Linear Inequalities

Graphing and Writing Inequalities - Overview

In mathematics, an inequality is a statement that one number, quantity, or set is less than or greater than another number, quantity, or set. The notation a ? b means that a is less than or equal to b.

Julie Silva

Solve Linear Inequalities

Solve Absolute Value Inequalities - Example 1

In mathematics, an absolute value (also called modulus or magnitude) is the non-negative value of a real number that is unchanged when the number is added to itself a number of times, regardless of the magnitude of the number. For example, 3 is the absolute value of both 3 and ?3, and also of ?6 and 9.

Julie Silva

Solve Linear Inequalities

Solve Absolute Value Inequalities - Example 2

In mathematics, an absolute value (also called modulus or magnitude) is the non-negative value of a real number that is unchanged when the number is added to itself a number of times, regardless of the magnitude of the number. For example, 3 is the absolute value of both 3 and ?3, and also of ?6 and 9.

Julie Silva

Solve Linear Inequalities

Solve Absolute Value Inequalities - Example 3

In mathematics, an absolute value (also called modulus or magnitude) is the non-negative value of a real number that is unchanged when the number is added to itself a number of times, regardless of the magnitude of the number. For example, 3 is the absolute value of both 3 and ?3, and also of ?6 and 9.

Julie Silva

Solve Linear Inequalities

Solve Absolute Value Inequalities - Example 4

In mathematics, an absolute value (also called modulus or magnitude) is the non-negative value of a real number that is unchanged when the number is added to itself a number of times, regardless of the magnitude of the number. For example, 3 is the absolute value of both 3 and ?3, and also of ?6 and 9.

Julie Silva

Solve Linear Inequalities

Solve Absolute Value Inequalities - Overview

In mathematics, an absolute value (also called modulus or magnitude) is the non-negative value of a real number that is unchanged when the number is added to itself a number of times, regardless of the magnitude of the number. For example, 3 is the absolute value of both 3 and ?3, and also of ?6 and 9.

Julie Silva

Solve Linear Inequalities

Solve Compound Inequalities - And Statements - Example 1

In mathematics, a compound inequality is an inequality involving two or more inequalities connected by logical operators such as "and" and "or". Compound inequalities can be written in many ways. For example: 2x+3 or 5x+5 >10

Julie Silva

Solve Linear Inequalities

Solve Compound Inequalities - And Statements - Example 2

In mathematics, a compound inequality is an inequality involving two or more inequalities connected by logical operators such as "and" and "or". Compound inequalities can be written in many ways. For example: 2x+3 or 5x+5 >10

Julie Silva

Solve Linear Inequalities

Solve Compound Inequalities - And Statements - Example 3

In mathematics, a compound inequality is an inequality involving two or more inequalities connected by logical operators such as "and" and "or". Compound inequalities can be written in many ways. For example: 2x+3 or 5x+5 >10

Julie Silva

Solve Linear Inequalities

Solve Compound Inequalities - And Statements - Example 4

In mathematics, a compound inequality is an inequality involving two or more inequalities connected by logical operators such as "and" and "or". Compound inequalities can be written in many ways. For example: 2x+3 or 5x+5 >10

Julie Silva

Solve Linear Inequalities

Solve Compound Inequalities - And Statements - Overview

In mathematics, a compound inequality is an inequality involving two or more inequalities connected by logical operators such as "and" and "or". Compound inequalities can be written in many ways. For example: 2x+3 or 5x+5 >10

Julie Silva

Solve Linear Inequalities

Solve Compound Inequalities - Or Statements - Example 1

In mathematics, a compound inequality is an inequality involving two or more inequalities connected by logical operators such as "and" and "or". Compound inequalities can be written in many ways. For example: 2x+3 or 5x+5 >10

Julie Silva

Solve Linear Inequalities

Solve Compound Inequalities - Or Statements - Example 2

In mathematics, a compound inequality is an inequality involving two or more inequalities connected by logical operators such as "and" and "or". Compound inequalities can be written in many ways. For example: 2x+3 or 5x+5 >10

Julie Silva

Solve Linear Inequalities

Solve Compound Inequalities - Or Statements - Example 3

In mathematics, a compound inequality is an inequality involving two or more inequalities connected by logical operators such as "and" and "or". Compound inequalities can be written in many ways. For example: 2x+3 or 5x+5 >10

Julie Silva

Solve Linear Inequalities

Solve Compound Inequalities - Or Statements - Example 4

In mathematics, a compound inequality is an inequality involving two or more inequalities connected by logical operators such as "and" and "or". Compound inequalities can be written in many ways. For example: 2x+3 or 5x+5 >10

Julie Silva

Solve Linear Inequalities

Solve Compound Inequalities - Or Statements - Overview

In mathematics, a compound inequality is an inequality involving two or more inequalities connected by logical operators such as "and" and "or". Compound inequalities can be written in many ways. For example: 2x+3 or 5x+5 >10

Julie Silva

Solve Linear Inequalities

Solve Inequalities Using Addition and Subtraction - Example 1

In mathematics, an inequality is a statement that one number is greater than or less than another number. The notation a ? b means that a is less than or equal b. The notation a ? b means that a is greater than or equal to b. If the two numbers have the same sign, the relationship is positive (or less-than) and if they have different signs, the relationship is negative (or greater-than).

Julie Silva

Solve Linear Inequalities

Solve Inequalities Using Addition and Subtraction - Example 2

In mathematics, an inequality is a statement that one number is greater than or less than another number. The notation a ? b means that a is less than or equal b. The notation a ? b means that a is greater than or equal to b. If the two numbers have the same sign, the relationship is positive (or less-than) and if they have different signs, the relationship is negative (or greater-than).

Julie Silva

Solve Linear Inequalities

Solve Inequalities Using Addition and Subtraction - Example 3

In mathematics, an inequality is a statement that one number is greater than or less than another number. The notation a ? b means that a is less than or equal b. The notation a ? b means that a is greater than or equal to b. If the two numbers have the same sign, the relationship is positive (or less-than) and if they have different signs, the relationship is negative (or greater-than).

Julie Silva

Solve Linear Inequalities

Solve Inequalities Using Addition and Subtraction - Example 4

In mathematics, an inequality is a statement that one number is greater than or less than another number. The notation a ? b means that a is less than or equal b. The notation a ? b means that a is greater than or equal to b. If the two numbers have the same sign, the relationship is positive (or less-than) and if they have different signs, the relationship is negative (or greater-than).

Julie Silva

Solve Linear Inequalities

Solve Inequalities Using Addition and Subtraction - Overview

In mathematics, an inequality is a statement that one number is greater than or less than another number. The notation a ? b means that a is less than or equal b. The notation a ? b means that a is greater than or equal to b. If the two numbers have the same sign, the relationship is positive (or less-than) and if they have different signs, the relationship is negative (or greater-than).

Julie Silva

Solve Linear Inequalities

Solve Inequalities Using Multiplication and Division - Example 1

In mathematics, an inequality is a conditional statement that is either true or false, depending on the value of the variable.

Julie Silva

Solve Linear Inequalities

Solve Inequalities Using Multiplication and Division - Example 2

In mathematics, an inequality is a conditional statement that is either true or false, depending on the value of the variable.

Julie Silva

Solve Linear Inequalities

Solve Inequalities Using Multiplication and Division - Example 3

In mathematics, an inequality is a conditional statement that is either true or false, depending on the value of the variable.

Julie Silva

Solve Linear Inequalities

Solve Inequalities Using Multiplication and Division - Example 4

In mathematics, an inequality is a conditional statement that is either true or false, depending on the value of the variable.

Julie Silva

Solve Linear Inequalities

Solve Inequalities Using Multiplication and Division - Overview

In mathematics, an inequality is a conditional statement that is either true or false, depending on the value of the variable.

Julie Silva

Solve Linear Inequalities

Solve Multi-Step Inequalities - Example 1

In mathematics, a linear inequality is an inequality involving a linear function. Linear inequalities are algebraic equations involving the addition, subtraction, multiplication, and division of numbers and variables, and the four basic arithmetic operations (addition, subtraction, multiplication, and division) performed on them. Linear inequalities can be represented graphically using a closed curve (a line segment joining two points) or open curve (a line segment with no end-points).

Julie Silva

Solve Linear Inequalities

Solve Multi-Step Inequalities - Example 2

In mathematics, a linear inequality is an inequality involving a linear function. Linear inequalities are algebraic equations involving the addition, subtraction, multiplication, and division of numbers and variables, and the four basic arithmetic operations (addition, subtraction, multiplication, and division) performed on them. Linear inequalities can be represented graphically using a closed curve (a line segment joining two points) or open curve (a line segment with no end-points).

Julie Silva

Solve Linear Inequalities

Solve Multi-Step Inequalities - Example 3

In mathematics, a linear inequality is an inequality involving a linear function. Linear inequalities are algebraic equations involving the addition, subtraction, multiplication, and division of numbers and variables, and the four basic arithmetic operations (addition, subtraction, multiplication, and division) performed on them. Linear inequalities can be represented graphically using a closed curve (a line segment joining two points) or open curve (a line segment with no end-points).

Julie Silva

Solve Linear Inequalities

Solve Multi-Step Inequalities - Example 4

In mathematics, a linear inequality is an inequality involving a linear function. Linear inequalities are algebraic equations involving the addition, subtraction, multiplication, and division of numbers and variables, and the four basic arithmetic operations (addition, subtraction, multiplication, and division) performed on them. Linear inequalities can be represented graphically using a closed curve (a line segment joining two points) or open curve (a line segment with no end-points).

Julie Silva

Solve Linear Inequalities

Solve Multi-Step Inequalities - Overview

In mathematics, a linear inequality is an inequality involving a linear function. Linear inequalities are algebraic equations involving the addition, subtraction, multiplication, and division of numbers and variables, and the four basic arithmetic operations (addition, subtraction, multiplication, and division) performed on them. Linear inequalities can be represented graphically using a closed curve (a line segment joining two points) or open curve (a line segment with no end-points).

Julie Silva