Help explain how to do this pls | r+6 | + 8 =22

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Sootsnoot asked Oct 11, 2022

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Help explain how to do this pls
| r+6 | + 8 =22

Mathematics
college

Sootsnoot asked Oct 11, 2022

by Sootsnoot

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Explanation:

$|r + 6| + 8 = 22 \\ r + 6 = 14 \\ r = 8$

Datps answered Oct 12, 2022

by Datps

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Answer:

$r\in\{-20, 8\}$

Explanation:

$| r+6 | + 8 =22 \iff | r+6 | = 14$

Note, once we are working with absolute value, then

|14| = |-14| = 14

Therefore, we have two solutions for

Thus,

$r + 6 = -14 \implies r = -20$

$r + 6 = 14 \implies r = 8$

Vincente answered Oct 15, 2022

by Vincente

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