logo

Question detail

MCQ 4 - 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. - Pure Mathematics

Try the question, check the answer, then read the explanation to understand the curriculum point.

At a glance

MCQ

Type

practice

Style

Topic

Pure Mathematics

Exam-style question

Try this first

After solving -1 ? 2x + 3 < 7, what final form best communicates the answer?.

  1. A.B5: connect the result back to the original question
  2. B.Use any familiar GCSE calculation even if it ignores solving linear and quadratic inequalities in a single variable…
  3. C.Write only the final answer without showing the mathematical method
  4. 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: connect the result back to the original question.
  • The compound inequality should be solved across all three parts and written as a single interval or equivalent set of bounds.

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: connect the result back to the original question, is supported because a compound linear inequality represents one connected interval. The final answer must keep both bounds together rather than treating them as unrelated equations.

Maths method check

  • Topic focus: Pure Mathematics.
  • Question style: practice.
  • Reasoning demand: analysis.
  • 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.

Related flashcards

No flashcards are published for this page yet.

Related practice questions

No questions are published for this page yet.