Question

solve and graph the following inequality. 10.5 + 15.1x ≤ 25.6

1. provide an answer accurate to the nearest tenth.
2. inequality:
3. graph:

number line options

Explanation:

Step1: Subtract 10.5 from both sides

$$10.5 + 15.1x-10.5\leq25.6 - 10.5$$
$$15.1x\leq15.1$$

Step2: Divide both sides by 15.1

$$\frac{15.1x}{15.1}\leq\frac{15.1}{15.1}$$
$$x\leq1$$

Answer:

The solution of the inequality \(10.5 + 15.1x\leq25.6\) is \(x\leq1\). On the number - line, we draw a closed circle at \(x = 1\) (because the inequality includes equality, i.e., \(x\) can be equal to \(1\)) and shade the line to the left of \(1\) to represent all values of \(x\) that are less than or equal to \(1\).