|2x+5|-|x-4|<2x+3
case 1: x≤-5/2
|2x+5|-|x-4|<2x+3
-(2x+5)+(x-4)<2x+3
3x>-12
x>-4
solution for case 1: -4 case 2: -5/2 |2x+5|-|x-4|<2x+3 (2x+5)+(x-4)<2x+3 x<2 solution for case 2: -5/2 case 3: x≥4 |2x+5|-|x-4|<2x+3 (2x+5)-(x-4)<2x+3 x>6 solution for case 3: x>6 |2x+5|-|x-4|<2x+3 => case 1 or case 2 or case 3 "-4 -4
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