contestada

state the inverse, contrapositive, and converse of each conditional statement. then indicate whether the inverse, contrapositive, and converse are true. (a) if 3 is a prime number then 5 is an even number. (b) if 7 < 5, then 5 < 3.

Respuesta :

The inverse is the false and the Converse is the true.

According to the statement

We have to find that the contra positive, and converse are true.

So, For this purpose, we know that the

A conditional statement may be a statement which will be written within the form “If P then Q,” where P and Q are sentences. For this conditional statement, P is named the hypothesis and Q is termed the conclusion.

From the given information:

if 3 could be a prime quantity then 5 is a fair number.

Then

a) Inverse: If 3 isn't a primary number, then 5 isn't a fair number. (True)

Contra positive: If five isn't an excellent number, then 3 isn't a main number. (False)

Converse: If 5 is a good number, then 3 may be a prime quantity. (True).

And

b) if 7 < 5, then 5 < 3

This statement is that the false because the primary statement is that the false.

So, The inverse is the false and the Converse is the true.

Learn more about conditional statement here

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