Solve inequality. Write the solution set in interval notation, and graph it. 6 m ≥-24

Name: Problem 30, Chapter 2: Beginning Algebra
Uploaded: 2020-07-20T00:02:29-08:00
Duration: 3 min 12 s
Channel: Shonte Cobbs
Description: Solve inequality. Write the solution set in interval notation, and graph it. 6 m ≥-24

step 1 So we're going to start by reviewing what symbols we're going to use because we're going to writ

Solve inequality. Write the solution set in interval...

Key Concepts

Linear Inequalities

A linear inequality is similar to a linear equation, but instead of an equality sign, it uses inequality symbols such as <, >, ?, or ?. They express a range of possible values for the variable rather than a single solution. Understanding linear inequalities is essential in algebra to determine the set of values that satisfy a given condition.

Algebraic Manipulation for Inequalities

Solving a linear inequality involves performing similar operations as one would in solving an equation, such as addition, subtraction, multiplication, or division, with one important exception: if multiplying or dividing by a negative number, the inequality symbol must be reversed. This process isolates the variable to determine its range of valid values.

Interval Notation

Interval notation is a compact form of representing a range of values. It uses brackets and parentheses to denote whether endpoints are included (using square brackets) or excluded (using parentheses) in the solution set of an inequality. Understanding interval notation is key to clearly expressing subsets of real numbers.

Number Line Representation

Graphing the solution of an inequality on a number line visually displays the set of all possible solutions. It helps in understanding the extent of the solution set by marking endpoints, shading the appropriate region, and often using a closed or open circle to indicate whether the endpoint is included.

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