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SingaporeAdditional MathematicsQuick questions

Quadratic Functions and Equations

Quick questions on Quadratic inequalities explained: O-Level A-Maths

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 picture?
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A quick number line with the two roots marked makes the regions concrete: test one value in each of the three regions (left of both roots, between them, right of both) in the factorised expression and note its sign. Shade the regions whose sign matches the inequality, and read off the answer.
What is q1?
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Solve (x2)(x+5)<0(x - 2)(x + 5) < 0. [2 marks]
What is q2?
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Solve x29x^2 \geq 9. [2 marks]
What is q3?
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Solve x24x+3<0x^2 - 4x + 3 < 0. [3 marks]

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