step 1 It is given that mod of x equals to 3 by 2, 3 divided with 2. Now we have to find the possible v

Question

Solve. $$|x|=\frac{3}{2}$$

Name: Problem 4, Chapter 3: Algebra and Trigonometry
Uploaded: 2020-07-04T05:39:28-08:00
Duration: 31 s
Channel: Ankit Gupta
Description: Solve. |x|=(3)/(2)

   Solve.
$$|x|=\frac{3}{2}$$

Algebra and Trigonometry

Judith A. Beecher,… 4th Edition

Chapter 3, Problem 4

Instant Answer

Solved by Expert Ankit Gupta

07/04/2020

Step 1

Therefore, it can either be positive or negative. So, we can write the equation as: \[x = \frac{3}{2}\] or \[x = -\frac{3}{2}\] Show more…

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Solve. $$|x|=\frac{3}{2}$$

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Key Concepts

Absolute Value

The absolute value of a number is its distance from zero on the number line, which is always nonnegative. This concept is central because it transforms a given number into its magnitude regardless of whether it is positive or negative.

Absolute Value Equations

Equations involving absolute values require considering the definition of absolute value, which leads to multiple cases. Specifically, when solving |expression| = value, you split the equation into two cases: one where the expression equals the positive value, and another where it equals the negative value.

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