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

A. −5x < 10
B. −5x > −18
C. −5x > 18
D. −5x > 10

Answer 1

The answer would be -5x > 10.

This is because our last inequality was -5x - 14 > -4 so we add 14 to both sides and it would look like this -5x (-14 + 14) > (-4 + 14) which would transition into our next inequality -5x > 10.

So therefore the answer would be -5x > 10.

Answer 2

Explanation:

-2x - 14 > -4 + 3x

subtract 3x from both sides

-5x - 14 > -4

add 14 to both sides

-5x > 10

divide both sides by -5

x < -2