2013 ACJC P1 Q1
Do not use a graphic calculator in answering this question.
By considering the cases $x<0$ and $x\ge 0$, find the range of values of $x$ that satisfy the inequality
$\left( 10-x \right)\left( 10-\left| x \right| \right)>11$,
giving your answers in exact form.
[5]
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