For what range of values of x is frac 1 2 x fra... - JAMB Mathematics 2010 Question
For what range of values of x is (\frac{1}{2})x + (\frac{1}{4}) > (\frac{1}{3})x + (\frac{1}{2})?
A
x < \(\frac{3}{2}\)
B
x > \(\frac{3}{2}\)
C
x < -\(\frac{3}{2}\)
D
x > -\(\frac{3}{2}\)
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Correct Option: B
(\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})
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