Question

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

Answer 1

Answer:

Number line D is true

Step-by-step 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

$\frac{-3x}{-3} < \frac{6}{-3}$

$x > -2$

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