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HomeCXC CSEC MathematicsRelations, Functions and Graphs: Linear inequalities and regions in two variables
CXC · CSEC · Mathematics

Relations, Functions and Graphs: Linear inequalities and regions in two variables
Practice Questions

20 CXC CSEC Mathematics questions on Relations, Functions and Graphs: Linear inequalities and regions in two variables, each with instant feedback and a full examiner-style mark scheme.

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Question 1 · 1 mark · Difficulty 1/3

Which set of inequalities correctly describes a region where x is at least 1, y is no more than 4, and the sum of x and y does not exceed 6?

  1. x > 1, y < 4, x + y > 6
  2. x ≥ 1, y ≤ 4, x + y ≤ 6
  3. x ≤ 1, y ≥ 4, x + y ≤ 6
  4. x ≥ 1, y ≥ 4, x + y ≥ 6
Show answer & explanation
✓ Answer: Bx ≥ 1, y ≤ 4, x + y ≤ 6
'At least 1' means x ≥ 1; 'no more than 4' means y ≤ 4; 'does not exceed 6' means x + y ≤ 6. These three conditions together form the correct system of inequalities.
Question 2 · 1 mark · Difficulty 1/3

Which of the following inequalities is represented by the region ABOVE the line y = 2x + 3, where the boundary line is NOT included?

  1. y ≤ 2x + 3
  2. y ≥ 2x + 3
  3. y > 2x + 3
  4. y < 2x + 3
Show answer & explanation
✓ Answer: Cy > 2x + 3
A region above a line uses the 'greater than' inequality. Since the boundary is not included, the inequality is strict: y > 2x + 3. A solid line would indicate ≥ or ≤, while a dashed line indicates > or <.
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CXC CSEC Mathematics: Relations, Functions and Graphs: Linear inequalities and regions in two variables FAQ

How many CXC CSEC Mathematics questions on Relations, Functions and Graphs: Linear inequalities and regions in two variables are there on Kramizo?
Kramizo currently has 20 exam-board-aligned practice questions on Relations, Functions and Graphs: Linear inequalities and regions in two variables for CXC CSEC Mathematics, with new questions added every week. Each question gives you instant feedback and a full examiner-style mark scheme that tells you exactly what would earn marks on a real CXC paper. The questions span the full difficulty range — from straightforward recall (level 1) right up to multi-step reasoning and evaluation (level 3) — so the bank works for first-pass revision and final exam-week stress testing alike.
Is Kramizo free for CXC CSEC students preparing for Mathematics?
Yes — completely free. Every student gets 45 questions a day on the free plan, with no card required and no trial countdown. That free quota works across every subject and every topic in our bank, so you can mix Relations, Functions and Graphs: Linear inequalities and regions in two variables practice with other Mathematics topics or even switch to a totally different CXC subject without paying anything. Kramizo's optional Pro plan removes the daily cap and adds detailed progress analytics, but the free tier is the real product — used by thousands of GCSE, IGCSE and CSEC students.
Are the Relations, Functions and Graphs: Linear inequalities and regions in two variables questions aligned to the official CXC CSEC Mathematics syllabus?
Every question is written against the published CXC CSEC Mathematics specification, including the exact command words (state, describe, explain, calculate, evaluate, etc.), mark allocations, and difficulty tier you'd see on a real CXC paper. Explanations are written in the style of official examiner mark schemes — they tell you what is being awarded marks and why distractors are wrong, not just whether you got it right. The bank is continually refined to match the latest syllabus updates from CXC.
How is Relations, Functions and Graphs: Linear inequalities and regions in two variables typically tested on CXC CSEC Mathematics papers?
Relations, Functions and Graphs: Linear inequalities and regions in two variables appears across multiple question types on real CXC CSEC Mathematics papers — most commonly as multiple-choice questions in the objective section, structured short-answer questions in the main paper, and occasionally as part of an extended response. Kramizo's practice bank reflects that mix: 4-option MCQs, true/false statements, fill-in-the-blank key terms, multi-select questions, and ordering questions. Working through the bank gives you exposure to every question style examiners actually use.

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