Study the table below and show the truth value of the statements.
Statement
An even number is divisible by two.
If-then form
If a number is even, then it is divisible by 2, divisible by 2.
Converse
If a number is divisible by 2, then it is not even.
Inverse
If a number is not even, then it is not divisible by 2.
Contrapositive
If a number is not divisible by 2, then it is not even.
Truth Value
REMEMBER: The truth value of a statement is either true or false. It is false only when the hypothesis is true and the conclusion is false.
Answers & Comments
Answer:
Study the table below and show the truth value of the statements.
Statement
An even number is divisible by two.
If-then form
If a number is even, then it is divisible by 2, divisible by 2.
Converse
If a number is divisible by 2, then it is not even.
Inverse
If a number is not even, then it is not divisible by 2.
Contrapositive
If a number is not divisible by 2, then it is not even.
Truth Value
REMEMBER: The truth value of a statement is either true or false. It is false only when the hypothesis is true and the conclusion is false.