Question

1. solve and graph the following inequality: 2x + 7 ≥ 5
2. provide an answer accurate to the nearest tenth.
3. inequality:
4. graph:

number line options

Explanation:

Step1: Solve the inequality

Subtract 7 from both sides of \(2x + 7\geq5\):
\(2x+7 - 7\geq5 - 7\), which simplifies to \(2x\geq - 2\).
Divide both sides by 2: \(x\geq\frac{-2}{2}=-1\).

Step2: Graph the inequality

On a number - line, draw a closed circle at \(x = - 1\) (because the inequality is \(\geq\), so the value \(x=-1\) is included) and draw an arrow to the right (since \(x\) is greater than or equal to \(-1\)).

Answer:

The solution of the inequality \(2x + 7\geq5\) is \(x\geq - 1\). On the number - line, there is a closed circle at \(-1\) and an arrow extending to the right.