Question

How would i Solve the inequality and type the solution in interval notation. No spaces!
-36 ≤ -5x - 1<-11

Answer 1

-36 <= -5x - 1 < -11 ---- add 1
1 - 36 <= -5x - 1 + 1 <- 11 + 1 --- combine like terms
-35 <= -5x < -10 --- divide by -5 and change inequality signs
-35/-5 >= -5x/-5 > -10/-5
7 >= x > 2

(2,7] --- interval notation

Answer 2

any questions ?

Answer 3

why would you change the inequality signs ?

Answer 4

but thank you

Answer 5

you ALWAYS change the inequality sign when dividing/multiplying by a negative number. This is a basic inequality rule :)