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

Question

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

Answer 1

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