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

# (a). x > 1/6 (b). x < 1/6 (c). x > 6 (d). x < 6

An inequality gives the range of values for the given expression and not just one exact value.

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

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

**Explanation:**

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

On simplifying this expression:

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

-16x + 8 < 2x + 5

On transposing -16x to the right and 5 to the left, we get:

⇒ 8 - 5 < 2x + 16x

⇒ 3 < 18x

⇒ 3/18 < x

⇒ x > 1/6