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

Question

asked Jun 3, 2017 34.7k views

2 Answers

Boscarol · Answer 1 · 2017-06-09T06:09:55+0000

Answer:

-6x+15<10-5x

Explanation:

we have

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

Solve for x

$-3(2x-5)<5(2-x)\\ \\-6x+15<10-5x\\ \\-6x+5x<10-15\\ \\-x<-5$

Multiply by

x>5

The solution is the interval -------> (5, ∞)

All real numbers greater than

using a graphing tool

see the attached figure