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Cambridge 9709 · Pure Mathematics 1

Practise quadratic inequalities

Check your answers and use feedback to improve.

3 worked examples10 guided questionsIntervals, negative coefficients and repeated roots

Maths4U Original: notes, examples & two exam-style problems

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10 questions to work through

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How to enter answers

Find the critical values and test the intervals on paper. Choose the complete solution set, including or excluding endpoints as required.

Build the method

1

Solve a quadratic inequality

Not checked

Solve the quadratic inequality over the real numbers:

\(x^2+4x+3<0\)

Choose the solution set
Review the method

2

Solve a quadratic inequality

Not checked

Solve the quadratic inequality over the real numbers:

\(x^2-5x+6\ge 0\)

Choose the solution set
Review the method

3

Solve a quadratic inequality

Not checked

Solve the quadratic inequality over the real numbers:

\(x^2-7x+10\le 0\)

Choose the solution set
Review the method

Check the details

4

Solve a quadratic inequality

Not checked

Solve the quadratic inequality over the real numbers:

\(4x^2-4x-3>0\)

Choose the solution set
Review the method

5

Solve a quadratic inequality

Not checked

Solve the quadratic inequality over the real numbers:

\(-x^2+4x+5>0\)

Choose the solution set
Review the method

6

Solve a quadratic inequality

Not checked

Solve the quadratic inequality over the real numbers:

\(-2x^2+8x-6<0\)

Choose the solution set
Review the method

Apply and extend

7

Solve a quadratic inequality

Not checked

Solve the quadratic inequality over the real numbers:

\(x^2-4x+4<0\)

Choose the solution set
Review the method

8

Solve a quadratic inequality

Not checked

Solve the quadratic inequality over the real numbers:

\(x^2-6x+9\le 0\)

Choose the solution set
Review the method

9

Solve a quadratic inequality

Not checked

Solve the quadratic inequality over the real numbers:

\(x^2+4x+5>0\)

Choose the solution set
Review the method

10

Solve a quadratic inequality

Not checked

Solve the quadratic inequality over the real numbers:

\(x^2+4x+2<0\)

Choose the solution set
Review the method

Keep practising

Open all 58 questions in this topicTry 9 exam questionsSimultaneous linear and quadratic equations