p. 505# 1-5 for 10 mins

 

1a)

 

2.4 Implication

 

An implication statement has the form ‘if a then b

 

a is called the antecedent and b is called the consequent.

 

The symbol used for implication is .   means ‘if a then b

 

Ex 1 Analyze the implication  in a truth table.

 

Equivalence: when two statements imply each other.  The symbol for equivalence is

 

For two statements, p and q,  means  and  or .

 

Ex 2 Generate a truth table for

 

Converse, Inverse, Contrapositive are implications using different forms

 

A converse statement has the form

An inverse statement has the form

A contrapostive statement has the form

 

Ex 3 Generate truth tables for these three statements and conclude on their logical equivalence to

 

p. 507# 1-7

p. 509# 1-6