Question

Choose the missing step in the given solution to the inequality −x − 10 > 14 + 2x.

−x − 10 > 14 + 2x
  −3x −10 > 14
   _______________
 x < −8
   a. −3x > 24
  b. −3x < 4
  c. −3x > −4
 d. 8 < x

Answer 1

missing step : -3x > 24 <== to get that, 10 was added to both sides

Answer 2

a.
`-3x>24`

Explanation:

We have been given an inequality
`-x-10>14+2x`. We are asked to find the missing step to solve the given inequality.

Let us solve the given inequality.

`-x-2x-10>14+2x-2x`

`-3x-10>14`

`-3x-10+10>14+10`

`-3x>24`

`(-3x)/(-3)<(24)/(-3)`

`x<-8`

Therefore, our missing step is
`-3x>24`.