Solving inequalities graphically
Edexcel GCSE Maths revision on Solving inequalities graphically. Aligned to the Pearson Edexcel GCSE Mathematics 1MA1 specification. This bank has 16 practice questions on this topic.
Sample questions (3 of 16)
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Question 1
Which inequality is represented by a solid line passing through the points (0, 2) and (2, 0) with the region shaded towards the origin?
- A) x + y <= 2
- B) x + y >= 2
- C) x - y <= 2
- D) x - y >= 2
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Answer: x + y <= 2
The line passing through (0, 2) and (2, 0) has the equation x + y = 2. Since the region includes the origin (0, 0) and the line is solid, the correct inequality is x + y <= 2.
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Question 2
What is the largest integer value of x that satisfies the inequality y > 2x - 3 when y = 0 and x is restricted to the range x < 3?
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Answer: 1
Substituting y = 0 gives 0 > 2x - 3, which simplifies to 3 > 2x, or x < 1.5. The largest integer strictly less than 1.5 is 1.
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Question 3
Which type of line is used to represent the strict inequality y < 3x + 1 on a coordinate grid?
- A) dashed line
- B) dotted line
- C) broken line
- D) shaded line
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Answer: dashed line
A strict inequality (using < or >) does not include the boundary line itself, so a dashed line is used. A solid line would imply that the points on the line are included, which corresponds to <= or >=.
Want to test yourself on the remaining cards for this topic?
13 more questions on Solving inequalities graphically — plus mistakes tracking and spaced repetition across the whole Maths spec.