Question

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

Answer 1

x > 5 Hope that helps

Answer 2

Answer with Step-by-step explanation:

–3(2x – 5) < 5(2 – x)

⇒  -3×2x-3×(-5)<5×2-5×x

⇒   -6x+15<10-5x

Adding 6x on both sides

⇒   15<10-5x+6x

⇒   15<10+x

subtracting both sides by 10

⇒ 5<x

Hence, correct representations of the inequality –3(2x – 5) < 5(2 – x) is:

x>5