Question
What two values of x make the equation |x|+4=7 true?(1 point)
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
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
Answers
GPT-4o mini
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).
\[
|x| = 7 - 4
\]
\[
|x| = 3
\]
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).