Exam-style question
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Which answer avoids the common misconception in solving linear and quadratic inequalities in a single variable…?.
- A.B5: avoid assuming that a procedure is only valid when its assumptions match the mathematical object
- B.Use any familiar GCSE calculation even if it ignores solving linear and quadratic inequalities in a single variable…
- C.Write only the final answer without showing the mathematical method
- D.Change the notation or restrictions to make the algebra look simpler
Model answer
What a good answer should say
- The correct answer is B5: avoid assuming that a procedure is only valid when its assumptions match the mathematical object.
- This option is best because connect the algebraic method with the graph or discriminant information, then checks that the notation, restrictions and conclusion match the AQA A-level Mathematics objective.
This answer is tied to the objective: B5 Solve linear and quadratic inequalities in a single variable and interpret such inequalities graphically, including inequalities with brackets and fractions; express solutions through correct use of and and or, or through set notation; represent linear and quadratic inequalities graphically..
Explanation
Why this works
Use the explanation to connect the worked answer back to B5 Solve linear and quadratic inequalities in a single variable and interpret such inequalities graphically, including inequalities with brackets and fractions; express solutions through correct use of and and or, or through set notation; represent linear and quadratic inequalities graphically..
B5: avoid assuming that a procedure is only valid when its assumptions match the mathematical object is the correct option. It directly supports solving linear and quadratic inequalities in a single variable… by requiring the student to connect the algebraic method with the graph or discriminant information.
The other options are weaker because they hide the reasoning, ignore restrictions, or use a generic calculation that may not fit the objective.
Maths method check
- Topic focus: Pure Mathematics.
- Question style: practice.
- Reasoning demand: recall.
- Check the operation, notation, units, and final answer form against the question before moving on.
Common mistake
No common mistake is linked to this question yet.