Quelpr
5 marksLogic and Boolean Algebra

CAPE Applied Mathematics Unit 2 · 2018 · Paper 2 · Question 1(b)(ii)

Using the laws of Boolean algebra, show that for any two propositions, p and q, \sim(p \vee \sim(p \wedge q)) is a contradiction.

The mark scheme is shown once you've answered.

Practise this question

Other parts of this question

  1. 1(a)(i)Determine the earliest and latest start times for EACH activity, in order for the project to be completed in the minimum time. Write your answers in the…[6 marks]
  2. 1(a)(ii)Identify the critical path.[2 marks]
  3. 1(a)(iii)Determine the minimum time for completion of the project.[1 mark]
  4. 1(a)(iv)Draw a fully labelled activity network to represent these activities and their precedence.[4 marks]
  5. 1(a)(v)Assume that the duration of Activity C is increased to 6 days. Determine which activities are now critical, and the new minimum time for completion of the…[4 marks]
  6. 1(b)(i)Use a truth table to show that for any propositions, p and q, p \Rightarrow q \Leftrightarrow \sim p \vee q.[3 marks]

More practice: the rest of this paper · more Logic and Boolean Algebra questions · all CAPE Applied Mathematics Unit 2 past papers