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

Answer 1

The missing steps are : -3x > 24

Explanation:

The inequality is given to be : -x - 10 > 14 + 2x

Now, we need to find the solution of the given inequality

⇒ -x - 10 > 14 + 2x

Subtracting 2x from both the sides

⇒ -x - 10 - 2x > 14 + 2x - 2x

⇒ -3x - 10 > 14

Adding 10 on both the sides

⇒ -3x - 10 + 10 > 14 + 10

⇒ -3x > 24

Now, Dividing both the sides by -3

⇒ x < -8

Hence, The missing steps are : -3x > 24

Answer 2

-x - 10 > 14 + 2x |subtract 2x from both sides

-3x - 10 > 14 |add 10 to both sides

-3x > 24 |divide both sides by (-3) < 0 /change > to </

x < -8