Question

Solve each equation. $$ |0.5 x|=6 $$

Name: Problem 21, Chapter 1: Algebra for College Students
Uploaded: 2022-02-17T17:43:50-08:00
Duration: 49 s
Channel: Vysakh M
Description: Solve each equation. |0.5 x|=6

   Solve each equation.
$$
|0.5 x|=6
$$

Algebra for College Students

Margaret L. Lial,… 9th Edition

Chapter 1, Problem 21

Instant Answer

Solved by Expert Vysakh M

02/17/2022

Step 1

5x| = 6$. The absolute value of a number is its distance from zero on the number line, which is always positive or zero. Therefore, $0.5x$ can be either $6$ or $-6$. Show more…

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Solve each equation. $$ |0.5 x|=6 $$

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Key Concepts

Linear Equations

Linear equations are equations of the first degree, where the variable appears with an exponent of one. They are typically solved by isolating the variable on one side of the equation using algebraic operations, such as addition, subtraction, multiplication, or division.

Absolute Value

Absolute value refers to the non-negative value of a real number, representing its distance from zero on the number line. It is a fundamental concept in mathematics that ignores sign, thus |a| equals a if a is positive, and -a if a is negative.

Solving Absolute Value Equations

Solving equations involving absolute values requires considering multiple cases. The expression inside the absolute value is set equal to the positive and the negative of the other side of the equation. This process transforms the equation into two separate linear equations, each of which is then solved individually.

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