QUESTION 12
- If
, find the values of x and y. - Using a scale of 2cm to 1 unit on both axes, draw on a graph sheet the region which satisfies the following inequalities simultaneously: y < x + 1; 2y ≥ - 2x + 3; 2x<3; y+1> 0.
Observation
The Chief Examiner most Candidates’ fairly attempted this question and the few that did performed poorly.
In part (a), they were expected to first multiply 
and then equate 
after which solving simultaneously to get x = 2 and y = 4.
In part (b), they were expected to draw the lines for drawing line y = x + 1, 2y = -2x + 3, 2x = 3 and y + 1 = 0.
The graph showing the shaded region is as shown
