Answer:
see explanation
Step-by-step 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 = [tex]\frac{-6}{4}[/tex] = - [tex]\frac{3}{2}[/tex] = - 1.5
Solutions are x = - 1.5 or x = 2
