Question 534100
There are rules for inequalities with absolute value.

If |x| < a  then -a < x < a<P>

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

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

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