Solve: – \(\frac{1}{4}\) < \(\frac{3}{4}\) (3x – 2) < \(\frac{1}{2}\)
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-\(\frac{5}{9}\) < x <\(\frac{8}{9}\)
- -\(\frac{8}{9}\) < x <\(\frac{7}{9}\)
- -\(\frac{8}{9}\) < x <\(\frac{5}{9}\)
- -\(\frac{7}{9}\) < x <\(\frac{8}{9}\)
The correct answer is: A
Explanation
\(\frac{3}{4}\) (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 > \(\frac{8}{9}\)