Question

Choose the missing step in the given solution to the inequality −2x − 14 > −4 + 3x.

−2x − 14 > −4 + 3x

−5x − 14 > −4

_______________

x < −2

−5x < 10
−5x > −28
x < 2
−5x > 10

Answer 1

The missing step is −5x > −28. This is obtained by adding 14 to both sides of the inequality. Then, to get x < −2, we divide both sides by −5 and reverse the direction of the inequality sign.