Question

Which lists all the integer solutions of the equation |x| = 7?

a. –7 only
b. –7 and 7
c. 0 and 7
d. 7 only

Answer 1

-7 and 7

Explanation:

|x|=7|x|=7

Remove the absolute value term. This creates a ±± on the right side of the equation because |x|=±x|x|=±x.

x=±7x=±7

Set up the positive portion of the ±± solution.

x=7x=7

Set up the negative portion of the ±± solution.

x=−7x=-7

The solution to the equation includes both the positive and negative portions of the solution.

x=7,−7x=7,-7

Answer 2

a. |-7| = 7
b. |-7| = 7, |7| = 7
c. |0| = 0, |7| = 7
d. |7| = 7

b. lists all the integer solutions of the equation |x|=7.