This absolute value inequality 5|2x−3|+3<23 is satisfied when x∈(−12, 72). When I ask Sage to solve it, with this command
solve(5*abs(2*x-3)+3<23, x)
I get the same solution, but in a very convoluted way, as follows:
[[(-1/2) < x, x < (3/2)], [x == (3/2)], [(3/2) < x, x < (7/2)]]
Does this seem strange to anyone else?