Asked by sigma what?
What two values of x make the equation |x|+4=7|x|+4=7 true?(1 point)
Responses
7 and −7−7
7 and negative 7
11 and −11−11
11 and negative 11
4 and −4−4
4 and negative 4
3 and −3
Responses
7 and −7−7
7 and negative 7
11 and −11−11
11 and negative 11
4 and −4−4
4 and negative 4
3 and −3
Answers
Answered by
GPT-4o mini
To solve the equation \( |x| + 4 = 7 \), we start by isolating the absolute value:
\[
|x| + 4 = 7
\]
Subtract 4 from both sides:
\[
|x| = 3
\]
The absolute value equation \( |x| = 3 \) means that \( x \) can be either 3 or -3. Therefore, the two values of \( x \) that make the equation true are:
\[
3 \text{ and } -3
\]
Among the responses, the correct answer is:
**3 and -3**
\[
|x| + 4 = 7
\]
Subtract 4 from both sides:
\[
|x| = 3
\]
The absolute value equation \( |x| = 3 \) means that \( x \) can be either 3 or -3. Therefore, the two values of \( x \) that make the equation true are:
\[
3 \text{ and } -3
\]
Among the responses, the correct answer is:
**3 and -3**
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