0\\\\x_1=-4\; ,\; \; x_2=7\\\\+++(-4)---(7)+++\\\\\underline {x\in (-\infty ,-4)\cup (7,+\infty )}" alt="\frac{x+4}{x-7}>0\\\\x_1=-4\; ,\; \; x_2=7\\\\+++(-4)---(7)+++\\\\\underline {x\in (-\infty ,-4)\cup (7,+\infty )}" align="absmiddle" class="latex-formula">