Quelpr
2 marksGraphs of Linear Inequalities (Two Variables)

CSEC Mathematics · May/June 2007 · Paper 2 · Question 10(a)

A company manufactures gold (x) and silver (y) stars for packets. Conditions for packaging are given: (1) Each packet must have at least 20 gold stars (x ≥ 20). (2) Each packet must have at least 15 silver stars. (3) The total number of stars in each packet must not be more than 60. (4) x < 2y.

Write down the inequalities to represent conditions (2) and (3).

This question uses a figure or table from the paper — you'll see it when you practise.

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Other parts of this question

  1. 10(b)Describe, in words, the condition represented by the inequality x < 2y.[2 marks]
  2. 10(c)Using a scale of 2 cm to represent 10 units on both axes, draw the graphs of ALL FOUR inequalities represented in the table above.[7 marks]
  3. 10(d)Plot the points A, B and C on your graph. Hence determine which of the three packets satisfy ALL the conditions.[4 marks]

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