Math 1B

Question 1

The statement​ “Mathematics is​ fun” is what type of​ statement?

Answer 1

It is a proposition because the statement makes a claim that may be either true or false.

Question 2

When are two statements logically​ equivalent? Explain your reasoning.

Answer 2

Two statements logically equivalent if they have the same truth values.

Question 3

What is a​ proposition?

Answer 3

A proposition is a statement that makes a claim​ (either an assertion or a​ denial). It
may be either true or false,and it must have the structure of a complete sentence.

Question 4

What is inclusive

Answer 4

An inclusive allows either or both of the propositions.

Question 5

what is exclusive

Answer 5

An exclusive allows only one or the other proposition, but not both.

Question 6

Give an example of an inclusive

Answer 6

A quadrilateral can be a polygon with 4 sides or a polygon with 4 vertices.

Question 7

Give an example of exclusive

Answer 7

Before the​ test, I have the choice of studying or watching television

Question 8

Inductive is what to what

Answer 8

Specific Premises —-> general premises

Question 9

deductive is what to what

Answer 9

general premises——> specific premises

Question 10

Select all pairs of propositions that are logically equivalent.

Answer 10

Conditional and contrapositive
Converse and inverse