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If \(3x - \frac{1}{4})^{\frac{1}{2}} > \frac{1}{4} -...

If 3x14)12>14x, then the interval of values of x is

A.

x > 13

B.

x < 13

C.

x < 14

D.

x < 916

E.

x > 916

Correct answer is E

3x(14)12>14x

= 3x412>14x

= 3x2>14x

= 3x+x>14+24x>94

x>916