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

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

the answer will be the last one