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: $-3x> 24$

Step-by-step 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:

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

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

Therefore, the missing step is:

$-3x> 24$