Number line representation of inequalities — KCSE Mathematics

KCSE Mathematics · 109 practice questions · 3 syllabus objectives

37 easy37 medium35 hard

What You'll Learn

Key learning outcomes for this topic, aligned to the KNEC KCSE syllabus.

Represent the solution set of a linear inequality on a number line using open and closed circles

Read and interpret number line diagrams and write the corresponding inequality or solution set

Number line representation of inequalities

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easySHORT ANSWER3 marks

State the inequality represented by the solution set where x is greater than -5 but less than or equal to 3. (3 marks)

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Part (a) — 3 marks

Correctly identify the inequality as -5 < x ≤ 3 (1 mk)

Explain that -5 is represented by an open circle (1 mk)

Explain that 3 is represented by a closed circle (1 mk)

easySHORT ANSWER3 marks

Identify the inequality represented by the statement 'x is less than 5 but greater than or equal to 2'. (3 marks)

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Part (a) — 3 marks

Correctly identifies the lower bound as x ≥ 2 (1 mk)

Correctly identifies the upper bound as x < 5 (1 mk)

Combines both bounds in the inequality: 2 ≤ x < 5 (1 mk)

easySHORT ANSWER2 marks

State the solution set for the inequality x > 2. (2 marks)

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Part (a) — 2 marks

x ∈ (2, ∞) (2 mks)

Name the inequality represented by the solution set where x is less than or equal to -3. (2 marks)

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