Question

Choose the graph which represents the solution to the inequality:
3x + 8 ≥ 11

Answer 1

The solution of the inequality is x ≥ 1.

Solution:

Given inequality:

`3 x+8 \geq 11`

To find the solution of the inequality:

`3 x+8 \geq 11`

Subtract 8 from both sides.

`3 x+8-8 \geq 11-8`

`3 x \geq 3`

Divide by 3 on both sides.

`$(3 x)/(3) \geq (3)/(3)`

On simplifying this, we get

`x \geq 1`

The solution of the inequality is x ≥ 1.

The graph of the solution is attached below.