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

−x − 10 > 14 + 2x
−3x − 10 > 14
_____________
x x < −8

a)−3x > 24

b)−3x > 4

c)−3x > −4

d)−3x < 24

User Czchlong
by
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2 Answers

2 votes

Hey there! Here's your answer:

The missing steps are : -3x > 24

Here's why:

The inequality is: -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

Therefore, the missing steps are: -3x > 24

Hope this helps!

User Brynn Bateman
by
4.6k points
3 votes

-x - 10 > 14 + 2x

-x - 2x > 14 + 10

-3x > 24

Answer: A

User Juan Cespedes
by
4.7k points