2025 CGS PRELIMS P2 Q1

2025 CGS PRELIMS P2 Q1

Secondary 4
10 marks
  1. Solve the inequality \(2-x<\dfrac{3x+4}{2}<5x-3\).[3]
  2. It is given that \(F=\dfrac{m(7a-2x^2)}{3a}\), where \(m\ne0\) and \(a\ne0\).
    1. Find, in terms of \(a\), the value of \(F\) when \(x=-a\) and \(m=3\).[1]
    2. Express \(x\) in terms of \(F\), \(a\) and \(m\).[2]
  3. Solve the equation \(\dfrac{x+2}{x+5}+\dfrac{3x}{x-2}=7\).[4]

Solution:

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Answer:(a) \(x>\frac{10}{7}\) (b)(i) \(7-2a\) (b)(ii) \(x=\pm\sqrt{\frac{7am-3aF}{2m}}\) (c) \(x=3.80\) or \(-5.80\)

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