SOLUTION: How would you solve this? 24>2x-6>14

Question 1029550: How would you solve this?
24>2x-6>14
Found 3 solutions by josgarithmetic, rothauserc, MathTherapy:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
The number properties work almost the same and will work here with no complications. You just have three related members instead of just two related members. Just do what you already know.

Addition Property for Inequality,
Multiplication Property for Inequality, .
Answer by rothauserc(4718)   (Show Source): You can put this solution on YOUR website!
24 > 2x - 6 > 14
:
Add 6 to all sides
:
30 > 2x > 20
:
Divide all sides by 2
:
15 > x > 10
:
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x belongs to the open interval (10, 15)
***************************************
:

Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

How would you solve this?
24>2x-6>14

14 < 2x - 6 < 24 ------ Rearranging the compound inequality
14 + 6 < 2x - 6 + 6 < 24 + 6 ------ Adding 6, throughout
20 < 2x < 30
------- Dividing through by 2

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