Question

Given, “If I have a Siberian Husky, then I have a dog.” Identity the converse.
(a) If I do not have a Siberian Husky, then I do not have a dog
(b) If I have a dog, then I have a Siberian Husky
(c) If I do not have a dog, then I do not have a Siberian Husky
(d) If I do not have a Siberian Husky, then I have a dog

Answer 1

Hint: To solve the given question, we will first find out what a statement is and what kind of statement is given in the question. We will find out the general form of these types of statements. Then, we will find out what the converse of these kinds of statements is. Then, to find the converse of the statement given in the question, we will interchange the hypothesis and conclusion. In this way, we will get its converse.

Complete step-by-step answer:
Before we solve the given question, we must first know what a statement is and what kind of statement is given in the question. A statement is a sentence that is either true or false but not both. Now, the statement given in the question is conditional. A statement is written in the form of “If P then Q” is called a conditional statement. In our case, P is “I have a Siberian Husky” and Q is “I have a dog”.
Now, the converse of any conditional statement. “If P then Q” is given by “If Q then P”. Thus, the converse of the conditional statement given in the question will be: “If I have a dog then I have a Siberian Husky”.
Hence, option (b) is the right answer.

Note: To find the converse of any statement, the statement given should be a conditional statement, i.e. the given statement should be of the form “If P then Q”. If the given statement is not of this form, then the converse of the statement does not exist.