Big Ideas Math Integrated I, 2016
BI
Big Ideas Math Integrated I, 2016 View details
1. Conditional Statements
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Exercise 4 Page 441

There are four scenarios of a conditional statement.

See solution.

Practice makes perfect
A conditional statement can be expressed in if-then form.

if hypothesis then conclusion A hypothesis can either be true or false, and the same applies to a conclusion. For a conditional statement to be true though, the hypothesis and conclusion do not necessarily both have to be true — the only time a conditional statement is false is when a true hypothesis results in a false conclusion.

p q p→ q
T T T
T F F
F T T
F F T

We can see this illustrated in the truth table.