Q38. - Algebra 1

Question

Find a counterexample for each conditional statement.

If an animal has spots, then it is a Dalmatian.

Step-by-Step Solution

Answer

The statement that "if an animal has spots, then it is a Dalmatian" is not true.

And counterexample is Giraffe.

Step 1. Given Statement.

If an animal has spots, then it is a Dalmatian.

Step 2. Description of step.

To find a counterexample for the given statement.

Since Dalmatian is a breed of dog famous for spots on its body. So if an animal has spots on its body, it can be a Dalmatian.

But there are animals other than Dalmatian like Giraffe that also have spots on its body.

Step 3. Conclusion.

So if an animal has spots, then it is not necessary to be a Dalmatian.

Thus, the given statement is not true and a counter example is Giraffe.