Question

Please help with this |4x−1|=7 (x is NOT 2 and 1.5)

Answer 1

see explanation

Explanation:

The absolute value always returns a positive result, however the expression inside can be positive or negative, that is

4x - 1 = 7 OR 4x - 1 = - 7

4x - 1 = 7 ( add 1 to both sides )

4x = 8 ( divide both sides by 4 )

x = 2

OR

4x - 1 = - 7 ( add 1 to both sides )

4x = - 6 ( divide both sides by 4 )

x =
`(-6)/(4)` = -
`(3)/(2)` = - 1.5

Solutions are x = - 1.5 or x = 2