SOLUTION: |2k-5|<23

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Question 534100: |2k-5|<23
Answer by fcabanski(1391) About Me  (Show Source):
You can put this solution on YOUR website!
There are rules for inequalities with absolute value.
If |x| < a then -a < x < a


|2k-5| < 23 So -23 < 2k-5 < 23


Add 5 to all parts. -23+5 < 2k-5+5 < 23+5 ---> -18 < 2k < 28


Divide all parts by 2. -18/2 < 2k/2 < 28/2 ---> -9 < k < 14