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#
\(|3 + x| = 5\)

Which of the following options is the**CORRECT** solution set for the above equation?

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Question:

Which of the following options is the

A
{-8, 2}

explanation

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}

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