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3 marksGraphs of Linear Inequalities (Two Variables)

CSEC Mathematics · May/June 2013 · Paper 2 · Question 9(a)(iv)

Trish wishes to buy x oranges and y mangoes. Her bag has space for only 6 fruits. To get a good bargain, she must buy AT LEAST 2 mangoes. More information is represented by y ≤ 2x.

On the answer sheet provided, draw the lines associated with the two inequalities obtained in (i) and (ii) above.

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Other parts of this question

  1. 9(a)(i)Write an inequality to represent the information that her bag has space for only 6 fruits.[1 mark]
  2. 9(a)(ii)Write an inequality to represent the information that she must buy AT LEAST 2 mangoes.[1 mark]
  3. 9(a)(iii)Write the information represented by the inequality y ≤ 2x as a sentence in your own words.[2 marks]
  4. 9(a)(v)Shade on your graph the region which represents the solution set for the three inequalities.[1 mark]
  5. 9(b)(i)Write 3x² - 12x + 8 in the form a(x + h)² + k where a, h and k are constants.[3 marks]
  6. 9(b)(ii)a)Sketch the graph of y = 3x² - 12x + 8, showing on your sketch the intercept on the y-axis.[4 marks]
  7. 9(b)(ii)b)Sketch the graph of y = 3x² - 12x + 8, showing on your sketch the coordinates of the minimum point.[4 marks]

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