![image](https://tex.z-dn.net/?f=%5Cfrac%7B%282-x%29%282%2Bx%29%7D%7B2x-3%7D%3E0%5C%5C%5C%5C%5Cfrac%7B%28x-2%29%28x%2B2%29%7D%7B2x-3%7D%3C0%5C%5C%5C%5C---%28-2%29%2B%2B%2B%28%5Cfrac%7B3%7D%7B2%7D%29---%282%29%2B%2B%2B%2B%2B%5C%5C%5C%5Cx%5Cin+%28-%5Cinfty%2C-2%29U%28%5Cfrac%7B3%7D%7B2%7D%2C2%29)
0\\\\\frac{(x-2)(x+2)}{2x-3}<0\\\\---(-2)+++(\frac{3}{2})---(2)+++++\\\\x\in (-\infty,-2)U(\frac{3}{2},2)" alt="\frac{(2-x)(2+x)}{2x-3}>0\\\\\frac{(x-2)(x+2)}{2x-3}<0\\\\---(-2)+++(\frac{3}{2})---(2)+++++\\\\x\in (-\infty,-2)U(\frac{3}{2},2)" align="absmiddle" class="latex-formula">