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4MA1/2FR Jun 2023, Question 23: Finding Regions from Multiple Inequalities

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2FR (Foundation) · Calculator · 5 marks

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The question, in short

Solve the linear inequality 9 − 4x > 17, then use the grid showing three lines and shaded region R to state the three inequalities defining R.

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

Part (a) · 2 marks

Solve 9 − 4x > 17 for x.

  1. 1Subtract 9 from both sides: −4x > 8.
  2. 2Divide by −4 and reverse the inequality sign.
  3. 3x < −2

Answerx < −2

Part (b) · 3 marks

Write down the three inequalities whose shaded region is R on the grid.

  1. 1The shaded region is above the line y = 2, so y ≥ 2
  2. 2The shaded region is to the left of the line x = 6, so x ≤ 6
  3. 3The shaded region is below the line y = x, so y ≤ x

Answery ≥ 2, x ≤ 6, y ≤ x

Stuck on a step? Read the free lesson: Finding Regions from Multiple Inequalities

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