68.0k views
4 votes
Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Check all that apply

User Neoteknic
by
7.7k points

2 Answers

0 votes
x > 5 Hope that helps
User Galileo
by
6.8k points
2 votes

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

User Sanbor
by
7.1k points