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 < 8
D
x < 4
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
\(\frac{x + 2}{4} - \frac{2x - 3}{3}\) < 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
Source: Myschool Past Questions Archive (Record #3352)