Question

The conjunction of statements: “Roses are red and violets are blue.”
A. Roses are red and violets are blue.
B. Roses are red or violets are blue.
C. If roses are red, violets are blue.
D. Roses are red, only if violets are blue.

Answer 1

We start solving the problem by recalling the process of connecting two statements by means of conjunction i.e., the two or more simple sentences have to be connected with a connective ‘and’. We then apply this definition of conjunction for the two given simple statements of the problem. We then compare the answer obtained after applying conjunction to the statements with the options given in the problem.

Complete step-by-step solution:
According to the problem, we need to write the conjunction of the statement: " Roses are red and violets are blue.”
Let us recall the definition of the conjunction of statements before writing for the given statements.
CONJUNCTION: A compound sentence formed by two simple sentences p and q using the connective 'and' is called the conjunction of p and q.
According to the problem, we have given the simple statements as " Roses are red and violets are blue.”
In order to get the conjunction statement of these two statements, we need to connect them using the connective 'and'.
Now, on joining the given two statements using the connective 'and' we get,
Thus, Roses are red and violets are blue.

Hence, option (A) is the correct answer.

Note: If we are asked to consider disjunction instead of conjunction in this question, then we need to connect the two simple sentences with the connective 'or' which completely changes the statement. Similarly, we replace ‘and’ with ‘if and then’ for the conditional statement, also for the biconditional statement ‘and’ is replaced with ‘if and only if (iff)’.