2013 ACJC P1 Q1

2013 ACJC P1 Q1

5 marks
Prelims
Free

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]

Video Solution:

Default solution

Answer:\(-\sqrt{89}<x<10-\sqrt{11}\) or \(x>10+\sqrt{11}\)

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