Solve the inequalities for which \(\frac{x+4}{3}-\frac{x-3}{2} < 4\)
A
x < 7
B
x > -7
C
x < -7
D
x > 7
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
\(\frac{x+4}{3}-\frac{x-3}{2}\) < 4
\(\frac{(2(x+4))-(3(x-3))}{6}\) < 4
2(x+4) – 3(x-3) < 4 x 6
2x + 8 – 3x+9 < 24
-x + 17 < 24
-x < 24 – 17
-x < 7
x > -7
Source: Myschool Past Questions Archive (Record #9038)