O-LevelAdditional MathematicsEquations, inequalities and graphs4037/21 · May/June 2013 · Q98 Marks
It is given that x ∈ R and that E = {x:-5 < x < 12}, S = {x: 5x + 24 > x²}, T= {x:2x + 7 > 15}.
- (i)Find the values of x such that x ∈ S,[3]
- (ii)x ∈ S U T,[2]
- (iii)x ∈ (S ∩ T)'.[3]
Mark scheme
Marking points from the official mark scheme (May/June 2013). The mark or mark type is shown in brackets.
- [1] (i) Attempt to solve 3 term quadratic
- [1] (i) -3 and 8
- [1] (i) -3 < x < 8
- [1] (ii) 4 < x (< 12)
- [1] (ii) S U T = -3 < x < 12
- [1] (iii) S ∩ T = 4 < x < 8 or S' = -5 < x <= -3, 8 <= x < 12 and T' = -5 < x <= 4
- [1] (iii) -5 < x <= 4
- [1] (iii) 8 <= x < 12
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