Solve: – (frac{1}{4}) < (frac{3}{4}) (3x – 2) < (frac{1}{2})
-
A.
-(frac{5}{9}) -
B.
-(frac{8}{9}) -
C.
-(frac{8}{9}) -
D.
-(frac{7}{9})
Correct Answer: Option 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})