Contraposition or Transposition of Conditional Propositions

Let p and q be the following; p: I have completed the Python script. q: I perform module testing to the Python script. The conditional proposition has a symbolic form of "if p, then q" or p --> q. The translation of the contrapositive statement is which of the following.

If I do not perform module testing to the python script, then I have not completed the python script.

How would the contraposition of the conditional proposition of "If it is a hot day, then we turn the air conditioner on" be stated

If the air conditioner is not on, then it is not a hot day

Given the original proposition p --> q, the _____ statement would be !p --> !q.

Inverse

If the conditional proposition is p --> q, what is its contraposition?

!q --> !p

Let p and q be two simple statements in a conditional proposition p --> q. Its converse statement is _____.

q --> p

Which of the following is true regarding the contraposition of a conditional proposition?

Both propositions are negated

A _____ proposition is a logic statement with a hypothesis (antecedent) with the conclusion (consequence).

Conditional

Given the original proposition p --> q, the _____ statement would be !q --> !p.

Contrapositive

A _____ proposition is stated by interchanging the hypothesis (antecedent) with the conclusion (consequence).

Converse

Given the original proposition p --> q, the _____ statement would be q --> p.

Converse

The contrapositive of a proposition is always logically equivalent to the proposition. Let p and q be two simple propositions, such that p --> q. Which of the following statements is correct?

If p is false and q is true, then p --> q is true and !q --> !p is also true - or - If p is true and q is true, then p --> q is true and !q --> !p is also true - or - If p is true and q is false, then p --> q is false, and !q --> !p is also false

Let p and q be two simple propositions. For the compund statement R = !(p --> q) nad U = p /\ !q. Which of the following statements is correct?

If p is true and q is false, then U is true, and R is also true

Which of the following indicates a difference between the converse and contraposition of a conditional proposition?

The propositions are not negated in the converse - or - The propositions are negated in contraposition

What is the value of the conditional proposition p --> q and its contraposition if p is true and q is false?

They are always the same value

What is the value of the conditional proposition p --> q and its contraposition if p is false and q is false?

True, True - or - They are always the same value

Let p and q be two simple statements in a conditional proposition p --> q. Its contrapositive statement is _____.

!q --> !p