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Big Ideas Math Geometry, 2014
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Big Ideas Math Geometry, 2014 View details
1. Conditional Statements
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Exercise 39 Page 72

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

~ p q ~ p→ q
F T T
F F T
T T 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 ~ p→ q, we first have to negate p. The truth value of a negation is the opposite of the truth value of the original statement.

p ~ p
T F
T F
F T
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.

~ p q ~ p→ q
F T T
F F T
T T T
T F F
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arrow_right Communicate Your Answer p.65
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arrow_right Monitoring Progress p.66-70
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Monitoring Progress 15 (Page 70)
arrow_right Exercises p.71-74
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Exercises 39 (Page 72)
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