Question

which graph shows the solution set of the inequality 2.9(x + 8) < 26.1?

Explanation:

Step1: Divide both sides by 2.9

$$\frac{2.9(x + 8)}{2.9}<\frac{26.1}{2.9}$$
$$x + 8<9$$

Step2: Subtract 8 from both sides

$$x+8 - 8<9 - 8$$
$$x<1$$

Since \(x < 1\), the graph should have an open - circle at \(x = 1\) (because the inequality is strict, i.e., \(x\) is not equal to 1) and the line should extend to the left (towards smaller values of \(x\)).

Answer:

The graph with an open - circle at \(x = 1\) and shading to the left.