SOLUTION: Solve |4x - 3| = 5. Clearly show and explain each step for full credit.

Algebra ->  Inequalities -> SOLUTION: Solve |4x - 3| = 5. Clearly show and explain each step for full credit.       Log On


   

Question 762718: Solve |4x - 3| = 5. Clearly show and explain each step for full credit.
Answer by josgarithmetic(39799) About Me  (Show Source):
You can put this solution on YOUR website!
Either 4x-3 is greater than or equal to zero, OR 4x-3 is less than zero.
Work with these two possibilities.

CONDITION: 4x-3%3E=0
abs%284x-3%29=4x-3=5
4x=5%2B3
4x=8
highlight%28x=2%29

CONDITION: 4x-3%3C0
abs%284x-3%29=3-4x=5
-4x=5%2B3
4x=-5-3
4x=-8
highlight%28x=-2%29

x cannot be both values at the same time, but the solution is x=-2 OR x=2