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

a. first pic
b. second pic

Answer 1

–6x + 15 < 10 – 5x

pic a

Answer 2

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

A. First Picture

Explanation:

We are given the inequality,
`-3(2x-5)<5(2-x)`.

On simplifying the inequality, we get,

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

i.e.
`-6x+15<10-5x`

i.e.
`-x<-5`

i.e.
`x>5`

So, we get the correct representations of the inequality are,

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

A. the First Picture