Quelpr
2 marksGraphs of Linear Inequalities (Two Variables)

CSEC Mathematics · January 2012 · Paper 2 · Question 9(b)(i)

The diagram below shows the graphs of three lines and a shaded region defined by three inequalities associated with these lines. The inequality associated with the line 3y = x is 3y ≥ x.

State the other TWO inequalities which define the shaded region.

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

The mark scheme is shown once you've answered.

Practise this question

Other parts of this question

  1. 9(a)(i)Make x the subject of the formula y = (2x+3)/(x-4).[2 marks]
  2. 9(a)(ii)Hence, determine the inverse of f(x) = (2x+3)/(x-4), where x ≠ 4.[2 marks]
  3. 9(a)(iii)Find the value of x for which f(x) = 0.[2 marks]
  4. 9(b)(ii)Identify the three pairs of (x, y) values for which p has a maximum or a minimum value.[3 marks]
  5. 9(b)(iii)Which pair of (x, y) values makes p a maximum? Justify your answer.[4 marks]

More practice: the rest of this paper · more Graphs of Linear Inequalities (Two Variables) questions · all CSEC Mathematics past papers