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