MATH SOLVE

4 months ago

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

–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