# Solve the inequality. 2(4 + 2x) ≥ 5x + 5?

The basic difference between inequality and an equation is that inequality gives a range of solutions, while an equation gives an exact value or values.

## Answer: The inequality 2(4 + 2x) ≥ 5x + 5, holds true for all values of x less than or equal to 3.

Let us go through the explanation to understand better.

**Explanation:**

Given inequality: 2(4 + 2x) ≥ 5x + 5

On simplifying the inequality:

2(4 + 2x) ≥ 5x + 5

⇒ 8 + 4x ≥ 5x + 5

On transposing 8 on right and 5x on the left, we get:

⇒ 4x - 5x ≥ 5 - 8

⇒ -x ≥ -3

On again transposing, -x and -3 , we get;

⇒ x ≤ 3