What two values of x make the equation |x|+4=7 true?(1 point)

Question

Responses

7 and −7
7 and negative 7

4 and −4
4 and negative 4

3 and −3
3 and negative 3

11 and −11

Answer 1

To solve the equation \(|x| + 4 = 7\), first we isolate \(|x|\):

\[ |x| = 7 - 4 \] \[ |x| = 3 \]

The absolute value equation \(|x| = 3\) gives us two possible solutions:

\[ x = 3 \quad \text{or} \quad x = -3 \]

So the values of \(x\) that make the equation true are \(3\) and \(-3\).

The correct response is: 3 and −3 (or 3 and negative 3).