Question

Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Check all that apply.

x < 5

–6x – 5 < 10 – x

–6x + 15 < 10 – 5x

Answer 1

-6x+15<10-5X I HOPE IT HELP HAVE A NICE GRADE

Answer 2

`-6x+15<10-5x`

Explanation:

we have

`-3(2x-5)<5(2-x)`

Solve for x

`-3(2x-5)<5(2-x)\\ \\-6x+15<10-5x\\ \\-6x+5x<10-15\\ \\-x<-5`

Multiply by
`-1`

`x>5`

The solution is the interval -------> (5, ∞)

All real numbers greater than
`5`

using a graphing tool

see the attached figure