Solve the inequality: \(\frac{2x - 5}{2} < (2 - x)\)
A
x > 0
B
x < \(\frac{1}{4}\)
C
x > 2\(\frac{1}{2}\)
D
x < 2\(\frac{1}{4}\)
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
\(\frac{2x - 5}{2} < \frac{(2 - x)}{1}\)
2x - 5 < 4 - 2x
2x + 2x < 4 + 5
4x < 9
x < \(\frac{9}{4}\)
x < 2\(\frac{1}{4}\)
Source: Myschool Past Questions Archive (Record #36862)