Question

-4<=5x+6<26
Compound Inequalitys
I know how to solve them but I just don't know how to solve this problem leak because it if you can see it doesn't have 2x's I'm kind stuck
These are the multiple choice answers
{x:-5<=x<=7}
{x:5<=x<7}
{x:-5<=x<=3 1/2

Answer 1

My bad sorry put the wrong multiple choices answer
These are the correct ones

Answer 2

{x:4<=x<-2}
{x:-2<=x<4}
{x:x<=-4 or x>2}

Answer 3

To solve the inequality -4<=5x+6<26, instead of focusing on multiple x's, you want to focus on solving for the x in the center. To do this, treat it similarily to how you would treat a regular "x=#" equation. However, instead of just doing things to two sides, you must do the same thing to the ends and the middle part of the equation. Thus, you will first want to subtract 6 from both sides of the equation. This will give you:
-10<=5x<20
After that, you just divide by 5. Since 5 is positive, you do not need to worry about any sign changes. Thus:
-2<=x<4

Answer 4

Oh that makes sense know see I kept focusing on the x variables

Answer 5

Thanks