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Question:

|5 + x| = 10 Which of the following options is the correct solution set for the above equation?

A {-15, 5}
Explaination

The bars which surround the equation signify \u201Cabsolute value,\u201D which refers to the distance away from zero. Therefore, solutions to absolute value equations can be either positive or negative. The equation |5 + x| = 10 can be written in two ways:
5 + x = 10 and 5 + x = -10
Solve the first equation.
5 + x = 10
x = 5
Solve the second equation.
5 + x = -10
x = -15
Therefore, the correct solution set is\u00A0{-15, 5}.