Question

Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options

Answer 1

x>10

Explanation:

I am not sure what you are asking, but I just distributed it. DO NOT FORGET TO FLIP THE SIGN

Answer 2

The one representation is:
`-6x + 15 < 10 - 5x`

The second representation is shown in figure below.

Explanation:

Consider the provided inequality.

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

Open the parentheses.

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

Subtract 15 from both side.

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

`-6x < -5 - 5x`

Add 5x to the both side.

`-6x+5x < -5 - 5x+5x`

`-x < -5`

`x > 5`

That means the value of x can be any number greater than 5.

The one representation is:
`-6x + 15 < 10 - 5x`

The second representation is shown in figure below.