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Verified Answer :

Answer:Option 'A' is correct. i.e. \(x>\frac{1}{6}\)

Step-by-step explanation:

Since we know that

\(-2(8x -4) < 2x + 5\)

We need to solve for 'x':

So, it becomes,

\(-2(8x -4) < 2x + 5\\\\-16x+8<2x+5\\\\-16x-2x>5-8\\\\-18x>-3\\\\x>\frac{1}{6}\)

Hence, Option 'A' is correct. i.e. \(x>\frac{1}{6}\)

Answer:

A. \(x>\frac{1}{6}\)

Step-by-step explanation:

We are given the inequality, \(-2(8x-4)<2x+5\)

On simplifying, we get,

\(-2(8x-4)<2x+5\)

i.e. \(-16x+8<2x+5\)

i.e. \(-18x<-3\)

i.e. \(6x>1\)

i.e. \(x>\frac{1}{6}\)

Thus, the solution of the inequality is \(x>\frac{1}{6}\).

Hence, option A is correct.

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