Question

Let p: Mathematics is interesting and q: Mathematics is difficult, then the symbol pΛq means
A) Mathematics is interesting implies that Mathematics is difficult
B) Mathematics is interesting implies and is implied by Mathematics is difficult
C) Mathematics is interesting and Mathematics is difficult
D) Mathematics is interesting or Mathematics is difficult

Answer 1

Hint: To solve this problem, the easiest way is to check the multiple-choice options, and then select one correct answer out of four. So, lambda stands for logic and will add and to the sentences, so the statement would be Mathematics is interesting and Mathematics is difficult, hence we will get our required answer by checking from the options.

Complete step-by-step answer:
We have been given that, p be the proposition that Mathematics is interesting and q be the proposition that Mathematics is difficult, we need to tell what the symbol pΛq means.
We know that the symbol ‘Λ’ is lambda, it stands for logic, and it adds “and” to the sentences. Now, let us check one by one the four multiple choices.
Option A., Mathematics is interesting implies that Mathematics is difficult, this option is incorrect, as ‘and’ word is not here between the two sentences.
Option B., Mathematics is interesting implies and is implied by Mathematics is difficult, this option is incorrect, as only the word ‘and’ is not here between the two sentences.
Option C., Mathematics is interesting and Mathematics is difficult, this option is correct, as Mathematics is interesting and Mathematics is difficult.
Option D., Mathematics is interesting or Mathematics is difficult, this option is incorrect, as ‘and’ word is not here between the two sentences.
Thus, option (C), Mathematics is interesting and Mathematics is difficult, is correct.
So, the correct answer is “Option C”.

Note: In logic, propositional calculus is a branch of it. It is also known as propositional logic. It deals with propositions and relations between propositions, including the construction of arguments based on them.