Question

solve and graph the following inequality: 8 + 14.2x ≥ 107.4
provide an answer accurate to the nearest tenth.
inequality:
graph:
number line options

Explanation:

Step1: Subtract 8 from both sides

$$8 + 14.2x-8\geq107.4 - 8$$
$$14.2x\geq99.4$$

Step2: Divide both sides by 14.2

$$x\geq\frac{99.4}{14.2}$$
$$x\geq7.0$$

Answer:

Inequality: \(x\geq7.0\)

For graphing on the number - line: Place a closed circle at \(x = 7.0\) (since the inequality is \(\geq\)) and shade to the right of \(7.0\) on the number - line.