Answer:
Number line D is true
Step-by-step explanation:
Given
[tex]-3x + 1 < 7[/tex]
See attachment for number lines
Required
Which number line makes the inequality true
First, we solve for x in [tex]-3x + 1 < 7[/tex]
[tex]-3x < 7 - 1[/tex]
[tex]-3x < 6[/tex]
Divide through by -3
[tex]\frac{-3x}{-3} < \frac{6}{-3}[/tex]
[tex]x > -2[/tex]
The inequality means x is greater than -2.
This means that, the line must point to the right of -2 and the "greater than" means that the circle must be opened
Number line D is true
