- + - +
__________(-11)___________[0]_____________[4]__________
x ∈ (- 11 ; 0] ∪ [4 ; + ∞)
4\\\\\frac{5x-1}{2x-3}-4>0\\\\\frac{5x-1-8x+12}{2x-3}>0\\\\\frac{-3x+11}{2x-3}>0\\\\(-3x+11)(2x-3)>0\\\\-3*2(x-3\frac{2}{3})(x-1,5)>0\\\\(x-3\frac{2}{3} )(x-1,5)<0" alt="2)\frac{5x-1}{2x-3} > 4\\\\\frac{5x-1}{2x-3}-4>0\\\\\frac{5x-1-8x+12}{2x-3}>0\\\\\frac{-3x+11}{2x-3}>0\\\\(-3x+11)(2x-3)>0\\\\-3*2(x-3\frac{2}{3})(x-1,5)>0\\\\(x-3\frac{2}{3} )(x-1,5)<0" align="absmiddle" class="latex-formula">
+ - +
________(1,5)___________(3 2/3)___________
x ∈ (1,5 ; 3 2/3)