Find the range of values of x for which\(\frac{x+2}{4}-\frac{x+1}{3}>\frac{1}{2}\)
A
x > 4
B
x > -4
C
x < 4
D
x < -4
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
\(\frac{x+2}{4}-\frac{x+1}{3}>\frac{1}{2}\)
\(\frac{3(x+2)-4(x+1)>6}{12}\); 3x + 6 – 4x – 4 > 6
- x + 2 > 6; - x > 4; x < -4
Source: Myschool Past Questions Archive (Record #26655)