Question

Example 4 Find a counterexample for each conditional statement.

If you live in London, then you live in England.

Short answer

The statement that "if you live in London, then you live in England is not always true".

Step-by-step solution

Step 1. Given Statement.

If you live in London, then you live in England.

Step 2. Description of step.

To find a counterexample for the given statement.

Note that London is a place in England, thus anyone who lives in that London lives in England.

But there may be another place with the same name London but in some other country.

Step 3. Conclusion.

Hence, the statement that,

"If you live in London, then you live in England is not always true".