GCSEFurther MathsAQATopic Questions2. Algebra & FunctionsSolving Inequalities

Solving Inequalities (AQA GCSE Further Maths)

Topic Questions

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1a
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Circle the solution of      – 3 x space less than space – 18

x space greater than space – space 6 space space space space space space space space space space space space space space space space space x space less than space – space 6 space space space space space space space space space space space space space space space space space space x space greater than space 6 space space space space space space space space space space space space space space space space space space x space less than space 6

[1]

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1b
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Circle the solution of     x squared space greater-than or slanted equal to space 16

[1]

x space greater-than or slanted equal to space – space 4 space or space x space less-than or slanted equal to space 4 space space space space space space space space space space space space space space space space space space space space x space less-than or slanted equal to space – space 4 space or space x space greater-than or slanted equal to space 4

x space greater-than or slanted equal to space – space 4 space or space x space greater-than or slanted equal to space 4 space space space space space space space space space space space space space space space space space space space space x space less-than or slanted equal to space – space 4 space or space x space less-than or slanted equal to space 4

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2
Sme Calculator3 marks

Solve   2 x squared space plus space 4 space greater than space left parenthesis 2 x space – space 3 right parenthesis left parenthesis x space plus space 1 right parenthesis

[3]

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3
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Work out the smallest integer value of x that satisfies the inequality 8 space – space 5 x space less than space 26

[2]

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4
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Write down the range of values for x for which   left parenthesis 2 x space plus space 3 right parenthesis left parenthesis x space – space 2 right parenthesis space less than space 0

[1]

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5
Sme Calculator3 marks

Work out all the integer values of x for which

– 5 space less than space 4 x space plus space 3 space less-than or slanted equal to space 13

[3]

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6
Sme Calculator3 marks

Work out the range of values of x for which

x squared space – space 11 x space plus space 28 space greater than space 0

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[3]

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7
Sme Calculator3 marks

Work out the integer values of x  for which   x squared minus 20 x plus 96 less than 0

[3]

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