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

Answer:

a. $-3x>24$

Step-by-step 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.

$-x-2x-10>14+2x-2x$

$-3x-10>14$

$-3x-10+10>14+10$

$-3x>24$

$\frac{-3x}{-3}<\frac{24}{-3}$

$x<-8$

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