4. What is the contrapositive of the following statement?If you live in Toronto, then you live in Canada.If you do not live in Toronto, then you do not live in Canada.If you live in Toronto, then you live in Canada.If you do not live in Canada, then you do not live in Toronto.If you live in Canada, then you live in Toronto.

4 What is the contrapositive of the following statementIf you live in Toronto then you live in CanadaIf you do not live in Toronto then you do not live in Canad class=

Respuesta :

In general, given a conditional statement

[tex]p\Rightarrow q[/tex]

the contrapositive statement is

[tex]\urcorner q\Rightarrow\urcorner p[/tex]

Therefore, in our case, set

[tex]\begin{gathered} p=\text{ you live in Toronto} \\ q=\text{ you live in Canada} \end{gathered}[/tex]

Thus, the contrapositive of the given conditional statement is

[tex]\begin{gathered} \urcorner(\text{ you live in Canada})\Rightarrow\urcorner(\text{ you live in Toronto}) \\ \end{gathered}[/tex]

If you do not live in Canada, then you do not live in Toronto.

The answer is the third option.

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