Paper 2 June 2025, Question 3 1 mark
The diagram shows the graph with equation y = (x + 2)(x – 7)
Solve the inequality.
(x + 2)(x – 7) > 0
Tick (
) one box.
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AQA A Level Maths
Topic questions Pure mathematics Inequalities
Inequalities
6 questions · 14 marks · about 15 minutes
Inequalities questions
TopicInequalities▾
AQA 7357 Inequalities 6 questions
Paper 3 June 2025, Question 5 2 marks
Also involves Quadratic graphs
The diagram shows the graphs of y = 2 x and y = (x – 3)(x + 4).
The region R is defined by the inequalities
Shade the region R on the diagram.
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Paper 2 June 2023, Question 1 1 mark
Also involves Quadratic graphs
The graph of y 
ax2 
bx 
c has roots x 
2 and x 
5, as shown in the diagram below.
State the set of values of x which satisfy
Tick (
) one box.
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Paper 1 November 2021, Question 1 1 mark
State the set of values of x which satisfies the inequality
Tick (
) one box.
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Paper 3 June 2019, Question 4 3 marks
Also involves Straight line graphs · Quadratic graphs
Sketch the region defined by the inequalities
Clearly indicate your region by shading it in and labelling it R.
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Paper 2 June 2018, Question 4 6 marks
Also involves Graphs and curve sketching
A curve, C, has equation y 
x2 
6x k, where k is a constant.
The equation x2 
6x 
k 
0 has two distinct positive roots.
(a)
[2]
Sketch C on the axes below.
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(b)
[4]
Find the range of possible values for k.
Fully justify your answer.
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