Question

Solve the inequality, then select the graph that matches the solution.x +5 ≥ 5

Answer 1

Explanation:

Given the inequality:

`x+5\geqslant5`

Subtract 5 from both sides of the inequality.

`\begin{gathered} x+5-5\geq5-5 \\ x+0\geq0 \\ x\geq0 \end{gathered}`

(a)The solution to the inequality is x ≥ 0.

(b)Since the inequality sign is "greater than or equal to", the circle at 0must be shaded and the arrow pointing towards the right.

The correct graph is attached below:

The second and third options are correct.