Question

Which graph shows the solution set of the inequality 2.9 (x + 8) less-than 26.1

A number line goes from negative 10 to positive 10. A solid circle appears at 0. The number line is shaded from 0 toward positive 10.

A number line goes from negative 10 to positive 10. An open circle appears at 0. The number line is shaded from 0 toward positive 10.

A number line goes from negative 10 to positive 10. A closed circle appears at positive 1. The number line is shaded from positive 1 toward negative 10.

A number line goes from negative 10 to positive 10. An open circle appears at positive 1. The number line is shaded from positive 1 toward negative 10.

Answer 1

d

Explanation:

edge 2022

Answer 2

the solution set of inequality 2.9 (x + 8) less-than 26.1 is
`x<1`

Option D is correct.

Explanation:

We need to find the graph that shows the solution set of the inequality 2.9 (x + 8) less-than 26.1

First we will solve the inequality to find value of x

`2.9 (x + 8) <26.1`

Divide both sides by 2.9

`(2.9 (x + 8))/(2.9) < (26.1)/(2.9) \\x+8 < 9`

Subtract both sides by -8

`x+8-8<9-8\\x<1`

So, the solution set of inequality 2.9 (x + 8) less-than 26.1 is
`x<1`

The graph would be:

A number line goes from negative 10 to positive 10. An open circle appears at positive 1. The number line is shaded from positive 1 toward negative 10.

Option D is correct.

The graph is attached in figure also.