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Big Ideas Math Geometry, 2014

BI

Big Ideas Math Geometry, 2014 View details

1. Conditional Statements

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Exercise 44 Page 72

A conditional statement is only false when a true hypothesis produces a false conclusion.

q	p	q→ p	~(q → p)
T	T	T	F
F	T	T	F
T	F	F	T
F	F	T	F

Practice makes perfect

Let's remind ourselves of the truth table of a conditional statement.

p	q	p→ q
T	T	T
T	F	F
F	T	T
F	F	T

Note that a conditional statement is only false when a true hypothesis produces a false conclusion. Also, to get ~(q→ p) means negating the truth value of q→ p. With this, we can create our truth table.

q	p	q→ p	~( q→ p)
T	T	T	F
F	T	T	F
T	F	F	T
F	F	T	F

Subchapter links

Communicate Your Answer p.65

Monitoring Progress p.66-70

Exercises p.71-74