2025 DSS PRELIMS P2 Q1

2025 DSS PRELIMS P2 Q1

Secondary 4
11 marks
  1. Solve the inequality \(2x-1<\dfrac{5+9x}{2}\).[2]
  2. It is given that \(b=\dfrac{2(n-5p^2)}{n-p^2}\).
    1. Find \(b\) when \(n=1\) and \(p=-2\).[1]
    2. Express \(p\) in terms of \(b\) and \(n\).[3]
  3. Solve the equation \(\dfrac{3x}{2x-1}-\dfrac2{5-x}=7\).[5]

Solution:

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Answer:(a) \(x>-\frac75\) (b)(i) \(\frac{38}{3}\) (ii) \(p=\pm\sqrt{\frac{2n-bn}{10-b}}\) (c) \(5.37,0.626\)

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