SOLUTION: Solve the inequality algebraically. 1<5x+6<9 This is what I tried but I'm not sure it's correct. 1<5x+6<9 -6 -6 -6 -5<5x<3 -5/5<5x/5<3/5 -1<x<3/5 +1 +1 x=1 3/5

Algebra ->  Inequalities -> SOLUTION: Solve the inequality algebraically. 1<5x+6<9 This is what I tried but I'm not sure it's correct. 1<5x+6<9 -6 -6 -6 -5<5x<3 -5/5<5x/5<3/5 -1<x<3/5 +1 +1 x=1 3/5      Log On


   



Question 457727: Solve the inequality algebraically.
1<5x+6<9
This is what I tried but I'm not sure it's correct.
1<5x+6<9
-6 -6 -6
-5<5x<3
-5/5<5x/5<3/5
-1 +1 +1
x=1 3/5

Found 2 solutions by richwmiller, MathLover1:
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
You can't get an equals out of this.
You can can only get a range
Let's take it from
-5< 5x <3
divide by 5
-1< x <3/5
That is as far as you can go.
x is between -1 and 3/5

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

1%3C5x%2B6%3C9
1%3C5x%2B6%3C9.....you add -6 to all which is correct
-6 -6 -6
-5%3C5x%3C3........correct
-5%2F5%3C5x%2F5%3C3%2F5.........correct
-1%3Cx%3C3%2F5......correct .....
interval:
x|(-1,3%2F5)