SOLUTION: Solve the following compound inequality. Write the solution in interval notation. -5 < 2(x - 4) _< 9

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Question 693141: Solve the following compound inequality. Write the solution in interval notation.
-5 < 2(x - 4) _< 9
Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
          -5 < 2(x - 4) ≤ 9
Distribute:
           -5 < 2x - 8  ≤ 9

Add 8 to all three sides:

           -5 < 2x - 8 ≤  9
           +8      + 8   +8
           ----------------
           -1 < 2x     ≤ 17

Divide all three sides by 2:

           -1%2F2 < 2x%2F2     ≤ 17%2F2

 or

               -1%2F2 < x ≤ 17%2F2 
       
                (-1%2F2, 17%2F2]

Edwin