Find the values of x for which
(frac {x+2}{4}) – (frac{2x – 3}{3}) < 4
-
A.
x -
B.
x > -6 -
C.
x -
D.
x > -3
Correct Answer: Option B
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 < 30)
(therefore x > -6)
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