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# |3 + x| = 5

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

Question:

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}

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