Logical Reasoning

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• If it does not rain on Tuesday, then six students will not eat candy.

• If six students do not eat candy, then it does not rain on Tuesday.

• Six students do not eat candy, and it does not rain on Tuesday.

• It does not rain on Tuesday or six students will not eat candy.

Consider the conditional statement "If today is Saturday, then it's the weekend". 

This is a true statement because the weekend refers to Saturday and Sunday.

Identify the converse statement and its truth value.

[Hint:  The converse of "If p, then q" is "If q, then p".]

• The converse is "If today is not Saturday, then it's not the weekend" and is true.

• The converse is "If today is not Saturday, then it's not the weekend" and is false because it could be Sunday.

• The converse is "If it's the weekend, then today is Saturday" and is false because it could be Sunday.

• The converse is "If it's not the weekend, then today is not Saturday and true.

• If a number with only two factors, then is prime.

• If a number has two or more factors, then it is a prime.

• If a number two is a factor, then it is a prime number.

• If a number has only two factors, then it is a prime number.

The sum of two consecutive numbers is always an odd number.

• TRUE

• FALSE

Which statement is logically equivalent to the conditional statement?

• converse

• inverse

• contrapositive

• reverse

Which two statements should both be true to have a biconditional statement?

• conditional and converse

• conditional and inverse

• conditional and contrapositive

• converse and inverse

Statements that have the same truth value are called .

• Equal

• Logically Equivalent

• Logically Inequality

• Congruent

It is a reasoning which involves searching for patterns and making generalizations. In short, specific to general.

• Logic

• Inductive Reasoning

• Deductive Reasoning

• Inductive anf Deductive Reasoning