Question

Which number line represents the solution to the inequality

1
+
2
x
<
−
7
?

Answer 1

`\boxed {x < -4}` (Choice D)

Explanation:

You first need to solve the following inequality in order to get the actual answer and find the actual graph:

`1 + 2x < -7`

-Subtract
`1` to both sides:

`1 - 1 + 2x < -7 - 1`

`2x < -8`

-Divide both sides by
`2`:

`(2x)/(2) < (-8)/(2)`

`\boxed {x < -4}`

The number line graphed: