2009 AJC Promo Q4

2009 AJC Promo Q4

Promo

Solve the inequality \(2<\left| 2-ax \right|\le 4\), where \(a\) is a positive constant.

Hence, solve the inequality \(2<\left| 2\left( 1+a \right)-ax \right|\le 4\).

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Answer:(i) -2/a <= x < 0 or 4/a < x <= 6/a; (ii) -2/a + 2 <= x < 2 or 4/a + 2 < x <= 6/a + 2

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