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Big Ideas Math Integrated I, 2016
BI
Big Ideas Math Integrated I, 2016 View details
1. Conditional Statements
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Exercise 14 Page 446

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

p q ~ q p→ ~ q
T T F F
T F T T
F T F T
F F T T
Practice makes perfect

We are asked to make a truth table to the following conditional statement. p → ~ q To do so, let start by recalling the truth table of the conditional statement p→ q.

p q p→ q
T T T
T F F
F T T
F F T

To create the truth table for p→ ~ q, we first need 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 truth table.

p q ~ q p→ ~ q
T T F F
T F T T
F T F T
F F T T

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arrow_right Communicate Your Answer p.441
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Communicate Your Answer 5 (Page 441)
arrow_right Monitoring Progress p.442-446
Monitoring Progress 1 (Page 442)
Monitoring Progress 2 (Page 442)
Monitoring Progress 3 (Page 443)
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Monitoring Progress 15 (Page 446)
arrow_right Exercises p.447-450
Exercises 1 (Page 447)
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