Which number line represents the solution to the inequality
1
+
2
x
<
−
7
?

Answer:
[tex]\boxed {x < -4}[/tex] (Choice D)
Step-by-step explanation:
You first need to solve the following inequality in order to get the actual answer and find the actual graph:
[tex]1 + 2x < -7[/tex]
-Subtract [tex]1[/tex] to both sides:
[tex]1 - 1 + 2x < -7 - 1[/tex]
[tex]2x < -8[/tex]
-Divide both sides by [tex]2[/tex]:
[tex]\frac{2x}{2} < \frac{-8}{2}[/tex]
[tex]\boxed {x < -4}[/tex]
The number line graphed: