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SingaporeAdditional MathematicsQuick questions

Quadratic Functions and Equations

Quick questions on Solving quadratic inequalities: N(A)-Level Additional Mathematics

4short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What is a number-line alternative?
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If you prefer not to sketch, mark the critical values on a number line and test one value in each of the three intervals by substituting it into the factorised form. The sign you get tells you whether that whole interval satisfies the inequality.
What is q1?
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Solve (x−1)(x−5)<0(x - 1)(x - 5) < 0. [2 marks]
What is q2?
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Solve x2−9≥0x^2 - 9 \ge 0. [2 marks]
What is q3?
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Solve x2−2x−3≤0x^2 - 2x - 3 \le 0. [3 marks]

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