Exam-style question
Try this first
On a sign diagram for a quadratic inequality, what does a filled endpoint mean?.
- A.B5: check notation, restrictions and final form
- 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: check notation, restrictions and final form.
- A filled endpoint means the boundary value is included, which happens when the inequality uses ?
- or ?
- rather than < or >.
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: check notation, restrictions and final form, is supported because endpoint inclusion is part of the final inequality notation. A sign diagram must distinguish strict inequalities from inclusive inequalities before the solution set is written.
Maths method check
- Topic focus: Pure Mathematics.
- Question style: practice.
- Reasoning demand: application.
- 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.