Question

Solve 2|x| = 3
{-3/2, 3/2}
{-1, 1}
{-2/3, 2/3}

Answer 1

{-3/2, 3/2}

Explanation:

Let's solve your equation step-by-step.

2(|x|)=3

Step 1: Divide both sides by 2.

2(|x|)/2 = 3/2

|x|= 3/2

Step 2: Solve Absolute Value.

|x|= 3/2

We know either x= 3/2 or x=−3/2

x=3/2

(Possibility 1)

x=−3/2

(Possibility 2)