Question

Solve the inequality |3x+6|<12

Answer 1

Answer:

$-6<x<2$

Step-by-step explanation:

We have the inequality $|3x+6|<12$

In order to remove the absolute values, we need to add a ± to the opposite side of the equation. For ease of solving, I will split it up.

As we are multiplying one of the inequalities by a -1 when we are splitting up the ±, we will have to swap the inequality sign.

We now have two inequalities $3x+6<12$ and $3x+6>-12$

Now we can solve for x for each of them.

$3x+6<12\\\\3x<6\\\\x<2$

And the second

$3x+6>-12\\\\3x>-18\\\\x>-6$

Now, we can combine our two answers

$-6<x<2$

Answer 2

I'm probably late but your a swer is _6