Grade 10 Maths · Algebra

Write or draw a solution set

Show a solution set on a number line with open or closed dots, or write it in interval notation (for example −2 ≤ x < 3 is [−2; 3)).

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2) Number line interval set builder | Part 1Kevinmathscience

3) Number line interval set builder | Part 2Kevinmathscience

Grade 10 Maths interval notationMiss Martins Maths and Science

4) Number line interval set builder | Part 3Kevinmathscience

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Question 3.2 · March 2018 · Provincial · 2 marks

3.2 Solve for

t

- 8 \leq - 2 t < 18

. Write your answer in interval notation.(2)

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More past paper questions: write or draw a solution set

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3. Question 2.3.2 · March 2025 · Provincial · 2 marks
2.3 Solve the following inequalities
2.3.2 Represent your answer above on a number line.(2)
Show the memo (1 tick)Memo
1. ✓
  Draw number lineOpen circles at -1 and 4, with a line connecting them.
  2 marks · Write or draw a solution set
4. Question 2.3.1 · March 2017 · Provincial · 2 marks
2.3 An inequality is represented in the diagram: Solid dot at -3, arrow extending to the right, open circle at 2. [Diagram shows line from -3 to 2]
2.3.1 Write down the single inequality represented in the number line.(2)
Show the memo (1 tick)Memo
1. ✓
  Identify boundaries $- 3 \leq x < 2$
  2 marks · Write or draw a solution set
5. Question 1.2.2 · March 2024 · Paper 1 · Provincial · 2 marks
1.2 Given: $x^{2} - x - 20 < 0$
1.2.2 Hence, or otherwise, determine the sum of all the integers satisfying the inequality $x^{2} - x - 20 < 0$ .(2)
Show the memo (2 ticks)Memo
1. ✓
  Identify integers in the intervalIntegers: $- 3; - 2; - 1; 0; 1; 2; 3; 4$
  1 mark · Write or draw a solution set
2. ✓
  Calculate sumSum $= - 3 - 2 - 1 + 0 + 1 + 2 + 3 + 4 = 4$
  1 mark · Calculate with integers
6. Question 3.1.2 · June 2025 · Paper 1 · Provincial · 3 marks
3.1 Solve for $x$ if:
3.1.2 $- 3 \leq 2 - x < 0$ , where $x \in R$ and represent your answer on a number line.(3)
Show the memo (3 ticks)Memo
1. ✓
  Isolate the x term $- 3 - 2 \leq - x < 0 - 2$
  $- 5 \leq - x < - 2$
  1 mark · Solve a linear inequality
2. ✓
  Solve for x $5 \geq x > 2$
  Therefore: $2 < x \leq 5$
  1 mark · Solve a linear inequality
3. ✓
  Represent on a number lineThe correct representation is a number line showing an open circle at $2$ and a closed (shaded) circle at $5$ , with a solid line connecting the two values.
  1 mark · Write or draw a solution set

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