Linear Equations and Inequalities

Linear Equations and Inequalities

Secondary 3

For a real constant \(a\), solve: \[(a-2)x>6.\] Give separate answers for:

  1. \(a>2\);

  2. \(a<2\);

  3. \(a=2\).

Explain why dividing by \(a-2\) without considering its sign is unsafe.

Solution:

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Answer:(a) \(x>\frac{6}{(a-2)}\); (b) \(x<\frac{6}{(a-2)}\); (c) No solution.

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