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4 marksGraphs of Linear Inequalities (Two Variables)

CSEC Mathematics · May/June 2008 · Paper 2 · Question 10(b)(ii)

The shaded area in the diagram below shows the solution of a set of inequalities in x and y. The variable x represents the number of boys in a cricket club and y represents the number of girls in the cricket club. Use the graph above to answer the questions which follow.

Write down the set of THREE inequalities that define the shaded region.

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Other parts of this question

  1. 10(a)Solve the following pair of equations for x and y: y + 4x = 27 and xy + x = 40.[6 marks]
  2. 10(b)(i)a)State, using arguments based on the graph, whether the cricket club can have as members: 10 boys and 5 girls.[2 marks]
  3. 10(b)(i)b)State, using arguments based on the graph, whether the cricket club can have as members: 6 boys and 6 girls.[2 marks]
  4. 10(b)(iii)a)Write an expression in x and y that represents the total profit made by the company on the sale of uniforms.[3 marks]
  5. 10(b)(iii)b)Calculate the minimum profit the company can make.[3 marks]

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