Write the contrapositive of the conditional statement. Determine whether the contrapositive is true or false. If it is false, fi

Question

3 years ago

10

Write the contrapositive of the conditional statement. Determine whether the contrapositive is true or false. If it is false, fi

nd a counterexample.
A converse statement is formed by exchanging the hypothesis and conclusion of the conditional.

A) a non-converse statement is not formed by exchanging the hypothesis and conclusion of the conditional. True
B) A statement not formed by exchanging the hypothesis and conclusion of the conditional is a converse statement. False; an inverse statement is not formed by exchanging the hypothesis and conclusion of the conditional.
C) A non-converse statement is formed by exchanging the hypothesis and conclusion of the conditional. False; an inverse statement is formed by negating both the hypothesis and conclusion of the conditional.
D) A statement not formed by exchanging the hypothesis and conclusion of the conditional is not a converse statement. True

Mathematics

2 answers:

Vikentia [17] · Answer 1 · 2022-08-14T21:07:19+03:00

Vikentia [17]3 years ago

3 0

Answer:

D is the contrapositive.

Step-by-step explanation:

Contrapositive of if A then B is if not B then not A

natita [175] · Answer 2 · 2022-08-14T22:28:58+03:00

Answer:

Option D is correct here.

Step-by-step explanation:

A conditional statement is in the form of if p then q.

A contrapositive statement is when we interchange the hypothesis and conclusion of the sentence and negate both of them. It is in the form of - if not q then not p.

Given statement here is - A converse statement is formed by exchanging the hypothesis and conclusion of the conditional.

This is a true statement. It is the definition of converse statement.

Its contrapositive will be : A statement not formed by exchanging the hypothesis and conclusion of the conditional is not a converse statement.

So, here option D is the contrapositive that is also true.