header bg

Question:

|3 + x| = 5
Which of the following options is the correct solution set for the above equation?

A {-8, 2}
Explaination

The bars which surround the equation signify \u201Cabsolute value,\u201D which refers to the distance of a number from zero. Therefore, the outcome can be either positive or negative. The equation |3 + x| = 5 has two solutions:
3 + x = - 5 and 3 + x = 5
Solve the first equation.
3 + x = -5
x = -5 - 3
x = -8
Solve the next equation.
3 + x = 5
x = 5 - 3
x = 2
Therefore, the set of possible solutions is {-8, 2}