Question

He logical statement represents the inverse of the conditional statement "If you are human, then you were born on Earth." Which statement is the converse? Are the converse and the inverse true statements? Explain.

Answer 1

Answer:

The converse statement is "If you were born on Earth, then you are human" - false.

The inverse statement is "If you not a human, then you were not born on Earth" - false.

Step-by-step explanation:

For the statement consider table

$\begin{array}{lll}\text{Statement}& &\text{If p, then q}\\\text{Converse statement}& &\text{If q, then p}\\\text{Inverse statement}& &\text{If not p, then not q}\end{array}$

In given statement "If you are human, then you were born on Earth", p is "You are human" and q is "You were born on Earth".

Then converse statement is "If you were born on Earth, then you are human". This statement is not true, because you can be animal.

Inverse statement is "If you not a human, then you were not born on Earth". This statement is not true, because you can be an animal (not human), but were born on Earth.