O-LevelMathematicsAlgebra and graphs4024/12 · May/June 2016 · Q153 Marks
The diagram shows the lines x + y = 8 and 2y = x + 4. [Figure 15.1]
- (a)The shaded region on the diagram is defined by three inequalities. Write down these three inequalities.[2]
- (b)Another region, R, is defined by the inequalities x+y≤8, 2y≥x+4 and y≥a, where a is an integer. This region contains 5 points with integer coordinates. Write down the value of a.[1]
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Mark scheme
Marking points from the official mark scheme (May/June 2016). The mark or mark type is shown in brackets.
- [2] (a) x + y ≤ 8 oe 2y ≥ x + 4 oe x ≥ 0 C1 for two correct
- [1] (b) 3
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