When you solve 6 + 5|2r-3|≥ 4, is the answer r ≥ 13/10 and r ≤ 17/10?
|2r-3|≥ -2/5
http://www.regentsprep.org/Regents/math/algtrig/ATE2/absinequal.htm
since a<0, it's all real numbers. If you plot it out, you will notice that the values of R overlap and extend infinitely