Question

Solve the following compound inequality.
2x−11<5x+7≤2x−2

Answer 1

2x−11 < 5x+7 ≤ 2x-2

1st we will solve 2x−11 < 5x+7 then 5x+7 ≤ 2x-2

Let's solve your inequality step-by-step.

2x−11 < 5x+7

Step 1: Subtract 5x from both sides.

2x−11−5x<5x+7−5x

−3x−11<7

Step 2: Add 11 to both sides.

−3x−11+11<7+11

−3x<18

Step 3: Divide both sides by -3.

−3x−3<18−3x>−6

Answer: x>−6

And

5x+7≤2x−2 (solve as above)

Answer: x≤−3

I hope this helps

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