Solve the given equation.
[4w – 1] = 5w + 37
-
A) Ø
B) {-4}
C) {4}
D) {-4, 4}

Answer: B
Step-by-step explanation:
if 4w-1 ≥0 or w > 1/4 then
|4w-1|=4w-1
4w-1=5w+37 ==> w=-38 (exclude since not >1/4)
else
4w-1 < 0 or 4w <1 or w < 1/4
|4w-1|=-(4w-1)
-(4w-1)=5w+37
-4w+1=5w+37
9w=-36
w=-36/9
w=-4 ( which is < 1/4)
Sol={-4}
Answer B