Q:

HELP!!!!! ILL GIVE THE BRAINLIEST TO THE FASTEST PERSON THAT ANSWERS!!!!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

Accepted Solution

A:
The only correct answer is: –6x + 15 < 10 – 5x.

–3(2x – 5) < 5(2 – x) simplifies to –6x + 15 < 10 – 5x 

now, if you continue to reduce the inequality:

–6x + 15 < 10 – 5x    subtract 15 from both sides

–6x <  –5 – 5x           add 5x to both sides

–x <  –5                     multiply each side by -1

x > 5                          flip the inequality sign since you multiplied by a negative number