How many solutions does this problem have? | x - 7 | + 3 = - 15

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asked Jun 7, 2023 148k views

1 Answer

Vlad K · Answer 1 · 2023-06-14T16:26:13+0000

There are no solutions. By definition of absolute value,
$|x-7|\ge0$ , so
$|x-7|+3\ge3$ . The left side will always be positive, and a positive number cannot also be negative.

How many solutions does this problem have? | x - 7 | + 3 = - 15

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