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4MA1/1H Jan 2023, Question 10: Linear Inequalities

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1H (Higher) · Calculator · 6 marks

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The question, in short

Factorise a quadratic, read an inequality from a number line, and solve a linear inequality in w.

Summarised in our own words. Use the official paper for the exact wording and the diagram.

Part (a) · 2 marks

Factorise y² − 2y − 48.

  1. 1Look for two numbers that multiply to −48 and add to −2
  2. 2These numbers are 6 and −8
  3. 3(y + 6)(y − 8)

Answer(y + 6)(y − 8)

Part (b) · 1 mark

State the inequality for x shown on the number line with a filled circle at 3 and arrow pointing left.

  1. 1The filled circle at 3 means 3 is included
  2. 2The arrow points left, so x can be any value below 3
  3. 3x ≤ 3

Answerx ≤ 3

Part (c) · 3 marks

Solve 7w + 6 > 12w + 14 for w.

  1. 17w + 6 > 12w + 14
  2. 2Subtract 7w from both sides: 6 > 5w + 14
  3. 3Subtract 14 from both sides: −8 > 5w
  4. 4Divide both sides by 5: −8/5 > w
  5. 5So w < −8/5

Answerw < −8/5

Stuck on a step? Read the free lesson: Linear Inequalities

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