body{margin:0;} noscript{z-index: 10000; position: fixed; display: block; height: 100%; width: 100%; background: #fff;} noscript .fa{font-size: 40px; display:block; color: #daa520;} noscript div{margin-top: 6%; padding-left: 20px; padding-right: 20px; text-align: center;} ! You must have JavaScript enabled to use this site.

Big Ideas Math Geometry, 2014

BI

Big Ideas Math Geometry, 2014 View details

1. Conditional Statements

Continue to next subchapter

Exercise 40 Page 72

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

~ q	p	~ q→ p
F	T	T
T	T	T
F	F	T
T	F	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

To create our truth table for ~ q→ p, we first have to negate q. The truth value of a negation is the opposite of the truth value of the original statement.

q	~ q
T	F
F	T
T	F
F	T

Note that a conditional statement is only false when a true hypothesis produces a false conclusion. With this information, we can complete the table.

~ q	p	~ q→ p
F	T	T
T	T	T
F	F	T
T	F	F

Subchapter links

Communicate Your Answer p.65

Monitoring Progress p.66-70

Exercises p.71-74