Question

Select the solution to the following absolute value equation |x|=20.

a. x=-20x or x=10
b. x=20x or x=-20
c. x=10 or x=20
d. x=9 or x=-18

Answer 1

I believe the answer is c

Answer 2

x=20 or x=-20 is correct answer.

Explanation:

Given the equation |x|=20.

we have to solve the absolute value equation.

An absolute value equation is an equation which contains an absolute value expression.

The equation |x|=a has two solutions that are x = a and x = -a because both the numbers are at distance a from 0.

Hence, the solution of |x|=20 are x=20 or x=-20

∴ x=20 or x=-20 is correct answer.