Question

I'm confused...
Solve the inequality -5(x - 1) > -40. Show your work.

Answer 1

x < 9

Explanation:

-5(x - 1) > -40

Multiply both sides by -1

(-5(x - 1)) (-1) < (-40) (-1)

Simplify

5(x - 1) < 40

Divide both sides by 5

`(5(x-1))/(5) < (40)/(5)`

Simplify

x < 9

Answer 2

x<9

Explanation:

-5(x-1) > -40 ---> divide each side by -5(you flip the inequality because of dividing by negative)

(x-1)<8 ---> add 1 to each side

x<9