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

Answer:
`-3x> 24`

Explanation:

Given the inequality
`-x - 10 > 14 + 2x`, we need to solve for "x".

We can subtract
`-2x` to both sides:

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

`-3x- 10 > 14` (This step is shown in the exercise)

Now, we can add 10 to both sides:

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

`-3x> 24` (This step is not shown in the exercise)

And finally, divide both sides by -3:

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

`x< -8` (This is shown in the exercise)

Therefore, the missing step is:

`-3x> 24`