Question

Solve for x.

1/5 |x - 4| - 3 = 6

x = −49 and x = 41
x = −41 and x = 49
x = −19 and x = 11
x = −11 and x = 19

Answer 1

Answer: Choice B

x = -41 and x = 49

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Work Shown:

`(1)/(5)|\text{x} - 4| - 3 = 6\\\\(1)/(5)|\text{x} - 4| = 6+3\\\\(1)/(5)|\text{x} - 4| = 9\\\\|\text{x} - 4| = 5*9\\\\|\text{x} - 4| = 45\\\\`

Then we break up the absolute value like so

`\text{x} - 4 = 45 \ \text{ or } \ \text{x} - 4 = -45\\\\\text{x} = 45+4 \ \text{ or } \ \text{x} = -45+4\\\\\text{x} = 49 \ \text{ or } \ \text{x} = -41\\\\`