
A.
x 
B.
x > (frac{3}{2}) 
C.
x 
D.
x > (frac{3}{2})
Correct Answer: Option B
Explanation
(frac{1}{2})x + (frac{1}{4}) > (frac{1}{3})x + (frac{1}{2})
Multiply through by through by the LCM of 2, 3 and 4
12 x (frac{1}{2})x + 12 x (frac{1}{4}) > 12 x (frac{1}{3})x + 12 x (frac{1}{2})
6x + 3 > 4x + 6
6x – 4x > 6 – 3
2x > 3
(frac{2x}{2}) > (frac{3}{2})
x > (frac{3}{2})