Exam Style Question
Worked solutions to typical exam type questions that you can reveal gradually
Question id: 95. This question is similar to one that appeared in an IB Studies paper in 2011. The use of a calculator is allowed.
At Valley Park school, students must choose at least one of three after-school activities: Sport, Music or Adventure.
Consider the following propositions about one of the students called Raj:
\(s\): Raj chooses Sport,
\(m\): Raj chooses Music,
\(a\): Raj chooses Adventure.
(a) Write, in words, the compound proposition$$\lnot s \Rightarrow (m \lor a)$$
(b) Complete the truth table for \(\lnot m \Rightarrow s\)
|\(m\)||\(s\)||\(\lnot m\)||\(\lnot m \Rightarrow s\)|
(c) State whether \(\lnot m \Rightarrow s\) is a tautology, a contradiction or neither. Justify your answer.
The worked solutions to these exam-style questions are only available to those who have a Transum Subscription.
Subscribers can drag down the panel to reveal the solution line by line. This is a very helpful strategy for the student who does not know how to do the question but given a clue, a peep at the beginnings of a method, they may be able to make progress themselves.
This could be a great resource for a teacher using a projector or for a parent helping their child work through the solution to this question. The worked solutions also contain screen shots (where needed) of the step by step calculator procedures.
A subscription also opens up the answers to all of the other online exercises, puzzles and lesson starters on Transum Mathematics and provides an ad-free browsing experience.
Drag this panel down to reveal the solution
©1997 - 2019 Transum Mathematics :: For more exam type questions and worked solutions go to Transum.org/Maths/Exam/