# Algebra

posted by
**Kim**
.

I am having trouble with -4less than or equal to -3x-13 less than or equal to 26

-4 < -3x-13 < 26

Add 13 to all three parts of the inequality.

9 < 3x < 39

Divide all three parts by 3.

3 < x < 13

The < signs should all be "less than or equal, but I can't type that symbol with this computer

Take it apart into 2 statements

a) -4<=-3x-13

3x<=-9

x<-3

AND

b)-3x-13<=26

-3x<=39

x>=-13

now combine it into -13<=x<=-3

or you could do it the way it sits

-4<=-3x-13<=26

add 13

9<=-3x<=39

divide by -3, remember to reverse the inequality sign

-9>=x>=-13

which is the same result as in my first solution.

drwls, you missed the -sign in front of the 3x.