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`

Explanation:

we have

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

solve for x

eliminate the parenthesis (apply the distributive property)

`-3*2x+3*5 < 5*2-5*x`

`-6x+15< 10-5x` ---> correct representation of the inequality

Adds (5x-15) both sides

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

`-x< -5`

Multiply by -1 both sides

`x>5`