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Solve the inequality 1 - 2x lt - frac 1 3 - WAEC Mathematics 2008 Question

Solve the inequality 1 - 2x < - (\frac{1}{3})

A
x < \(\frac{2}{3}\)
B
x < -\(\frac{2}{3}\)
C
x > \(\frac{2}{3}\)
D
x > -\(\frac{2}{3}\)
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Correct Option: C

1 - 2x < - (\frac{1}{3}); -2x < -(\frac{1}{3}) - 1

-2x < - (\frac{1- 3}{3})

-2x < - (\frac{4}{-6})

3x -2x < -4; -8x < -4

x > -(\frac{4}{-6}) = x > (\frac{2}{3})

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