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Quadratic (Inequation)

\CIE\0606\2020\w\22\No 1

 Solve the inequality  $(x-8)(x-10)>35.$


*********math solution************* ****

$\begin{array}[t]{rcll}(x-8)(x-10)&>&35\\x^2-8x-10x+80&>&35\\x^2-18x+45&>&0\\(x-3)(x-15)&>&0\end{array}$

$\begin{array}[t]{|c||c|c|c|}\hline x& x<3 &  3<x<15&x>15\\ \hline x-3&-&+&+\\ x-15& -&-&+\\ \hline (x-3)(x-15)&+&-&+\\ \hline\end{array}$ 

$\therefore x<3 \text{ or }x>15.$ 
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