Question

Which number line shows all the values of that make the inequality -3 +1 < 7 true?

Answer 1

Number line D is true

Explanation:

Given

`-3x + 1 < 7`

See attachment for number lines

Required

Which number line makes the inequality true

First, we solve for x in
`-3x + 1 < 7`

`-3x < 7 - 1`

`-3x < 6`

Divide through by -3

`(-3x)/(-3) < (6)/(-3)`

`x > -2`

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