Question

Which number line shows the solution to the inequality -2(3x-1)<8

Answer 1

Answer:

$x > -1$

Step-by-step explanation:

Given

$-2(3x - 1) < 8$

Required

Show on a number line

$-2(3x - 1) < 8$

Divide through by -2

$\frac{-2(3x - 1)}{-2} < \frac{8}{-2}$

$3x - 1 > -4$

Add 1 to both sides

$3x -1 + 1 > -4 + 1$

$3x > -3$

Divide through by 3

$x > -1$

See Attachment for number line