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3 marksReasoning and Logic

CAPE Pure Mathematics Unit 1 · 2022 · Paper 2 · Question 1(a)(i)

Module 1. Answer BOTH questions.

Let p and q be any two propositions. Complete the truth table below.

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Other parts of this question

  1. 1(a)(ii)Hence, state whether the statements (\sim q \wedge p) and p \vee (\sim q \wedge p) are logically equivalent. Justify your response.[2 marks]
  2. 1(b)Determine the values of a, b, and c, such that 2x^2 - 7x + 12 = a(x - 2)(x - 1) - b(x - 3) + c.[9 marks]
  3. 1(c)Solve the inequality |3x + 2| \ge 4.[5 marks]
  4. 1(d)Solve the logarithmic equation \log_5(x + 2) + \log_5(x + 6) = 1.[6 marks]

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