Solve - frac 1 4 lt frac 3 4 3x - 2 lt frac 1 2 - WAEC Mathematics 2017 Question
Solve: - \(\frac{1}{4}\) < \(\frac{3}{4}\) (3x - 2) < \(\frac{1}{2}\)
A
-\(\frac{5}{9}\) < x <\(\frac{8}{9}\)
B
-\(\frac{8}{9}\) < x <\(\frac{7}{9}\)
C
-\(\frac{8}{9}\) < x <\(\frac{5}{9}\)
D
-\(\frac{7}{9}\) < x <\(\frac{8}{9}\)
correct option: a
\(\frac{3}{4}\) (3x - 2) < \(\frac{1}{2}\); \(\frac{3}{4}\) (3x - 2) > - \(\frac{1}{4}\)
3(3x - 2) < 2; 3(3x - 2) > -1
9x - 6 < 2; 9x - 6 > -1
9x < 8; 9x > 5
x < \(\frac{5}{9}\); x > \(\frac{8}{9}\)
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