Answer:
the solution set of inequality 2.9 (x + 8) less-than 26.1 is [tex]x<1[/tex]
Option D is correct.
Step-by-step 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
[tex]2.9 (x + 8) <26.1[/tex]
Divide both sides by 2.9
[tex]\frac{2.9 (x + 8)}{2.9} < \frac{26.1}{2.9} \\x+8 < 9[/tex]
Subtract both sides by -8
[tex]x+8-8<9-8\\x<1[/tex]
So, the solution set of inequality 2.9 (x + 8) less-than 26.1 is [tex]x<1[/tex]
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.
