Find the range of values of x for which (frac{(x+2)}{4}-frac{2x-3}{3}<4)
-
A.
x > -6 -
B.
x > -3 -
C.
x -
D.
x
Correct Answer: Option A
Explanation
(frac{x + 2}{4} – frac{2x – 3}{3} < 4)
(frac{3(x + 2) – 4(2x – 3)}{12} < 4)
(3x + 6 – 8x + 12 < 48)
(18 – 5x < 48 implies -5x < 48 – 18)
(-5x < 30 implies x > -6)