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

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23-08-2022
Mathematics

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

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LammettHash LammettHash · Answer 1 · 2022-08-23T17:41:14+02:00

LammettHash LammettHash

23-08-2022

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

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