Solve the inequalities for which (frac{x+4}{3}-frac{x-3}{2} < 4)
-
A.
x -
B.
x > -7 -
C.
x -
D.
x > 7
Correct Answer: Option B
Explanation
(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