Answer:
x<2 and x>-6
Step-by-step explanation:
First, get rid of anything on the outside of the absolute value bars. Subtract the 10 on both sides first.
-2|2x+4|+10>-6
-10 -10
-2|2x+4|>-16
Now, divide by -2 on both sides.
-2|2x+4|>-16
/-2 /-2
|2x+4|<8
Just so you know, any time you multiply or divide by a negative, flip the inequality sign. Now because the numbers in the absolute bars are by themselves, you can start to finally solve. But, when you have an equation with absolute bars and you have the numbers in the absolute bars by themselves, you always have to split it into two equations. The equations have to be identical, but the number on the opposite side of the x has to be negative. Now, you solve both equations just like regular ones. Also, flip the sign for the inequality with the negative number.
|2x+4|<8 and |2x+4|>-8
-4 -4 -4 -4
2x<4 2x>-12
/2 /2 /2 /2
x<2 and x>-6
I hope this helps you out!!! Have an amazing day C:
