the logical statement represents the inverse of the conditional statement \if you are human, then you were…

the 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.

the 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

Brief Explanations:

  1. For a conditional statement "if p then q", the inverse is "if not p then not q" and the converse is "if q then p". Here, p = "you are human" and q = "you were born on Earth". So the inverse is "If you are not human, then you were not born on Earth" and the converse is "If you were born on Earth, then you are human".
  2. The converse is false because non - human life forms (like animals, plants) were also born on Earth. The inverse is false because there could be non - human entities (e.g., aliens in fictional scenarios) born on other planets or there could be human - made artificial entities not born on Earth in a non - biological sense.

Answer:

Inverse: If you are not human, then you were not born on Earth. Converse: If you were born on Earth, then you are human. Explanation for truth - value: The converse is false as non - human life is born on Earth. The inverse is false as non - humans could be born elsewhere or non - biological 'non - humans' may not be born on Earth.