Question

What is the solution set of |2x – 3| – 6 = –1?
A. 5 or -5
B. 4 or 1
C. 4 or -1
D. No solution

Answer 1

\[\left| 2x-3 \right|-6=-1\]\[\left| 2x-3 \right|=-1+6\]\[\left| 2x-3 \right|=5\]Square both sides.\[(2x-3)^{2}=25\]\[4x^{2}-12x+9=25\]\[4x^{2}-12x+9-25=0\]\[4x^{2}-12x-16=0\]THEN SOLVE QUADRADICALY.
You get the answer as 4,-1
So c is your answer