What is the solution to -2(8x - 4) < 2x + 5?
(a) x > 1/6 (b) x < 1/6 (c) x > 6 (d) x < 6

Solution:

An inequality gives the range of values for which the given expression holds true.

Domain represents the set of values that can be taken by the expression to give the desired range of values.

Given expression: -2(8x - 4) < 2x + 5

On simplifying this expression:

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

-16x + 8 < 2x + 5

Add 16x - 5 on both sides of  -16x + 8 < 2x + 5, we get:

⇒ 8 - 5 < 2x + 16x

⇒ 3 < 18x

⇒ 3/18 < x

⇒ x > 1/6

Thus, option (a). x > 1/6 is the solution to the given expression -2(8x - 4) < 2x + 5.

What is the solution to -2(8x - 4) < 2x + 5?

Summary:

Option (a) x > 1/6 is the solution to the given expression -2(8x - 4) < 2x + 5.