Question

How many solutions exist for |1/2x +1| =5

Answer 1

Explanation:

Plato!! C:2 solutions

Hope this helps someone

Answer 2

2 solutions

Explanation:

the absolute value function always gives a positive result, however the expression inside can be positive or negative , then

`(1)/(2)` x + 1 = 5 ( subtract 1 from both sides )

`(1)/(2)` x = 4 ( multiply both sides by 2 )

x = 8 ← 1 solution

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or

- (
`(1)/(2)` x + 1) = 5

-
`(1)/(2)` x - 1 = 5 ( add 1 to both sides )

-
`(1)/(2)` x = 6 ( multiply both sides by - 2 )

x = - 12 ← 2nd solution