2025 MGS(S) PRELIMS P2 Q2

2025 MGS(S) PRELIMS P2 Q2

Secondary 4
7 marks
    1. Solve the inequality \(x-4<5x+1\leq\dfrac72-2x\).[2]
    2. List all the integers that satisfy the inequality.[1]
  2. \(a=\dfrac{(b+1)^3}{4}-c^2\).
    1. Find \(a\) when \(b=2\) and \(c=-1\).[1]
    2. Rearrange the formula to make \(b\) the subject.[3]

Solution:

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Answer:(a)(i) \(-\frac54<x\leq\frac5{14}\) (ii) \(-1,0\) (b)(i) \(\frac{23}{4}\) (ii) \(\sqrt[3]{4(a+c^2)}-1\)

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