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Solve the inequality frac 2x - 5 2 lt 2 - x - WAEC Mathematics 2013 Question

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\(\frac{1}{4}\)
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Correct Option: D

(\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})

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