Exam-style question
Try this first
When solving (x - 2)(x + 3) > 0, which representation best captures the solution set?.
- A.B5: choose the method that matches solving linear and quadratic inequalities in a single variable…
- 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: choose the method that matches solving linear and quadratic inequalities in a single variable?.
- The solution is x < -3 or x > 2 because the product is positive outside the two critical roots.
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..
The correct option, B5: choose the method that matches solving linear and quadratic inequalities in a single variable?, is supported because a quadratic inequality requires critical values and sign regions. The word or is essential here because the two valid intervals are separate.
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.