Question

the results of a survey of customers at a pet supply store showed that 29 owned geese, 32 owned lizards, and 19 owned both geese and lizards. how many owned either a goose or a lizard? of the customers surveyed, owned either a goose or a lizard. (type an integer or a decimal.)

Explanation:

Step1: Recall the inclusion - exclusion principle

The formula for \(|A\cup B|\) is \(|A|+|B|-|A\cap B|\), where \(A\) is the set of goose - owners and \(B\) is the set of lizard - owners.
Let \(|A| = 29\), \(|B|=32\), and \(|A\cap B| = 19\).

Step2: Calculate the number of customers who own either a goose or a lizard

\[|A\cup B|=29 + 32-19\]
\[|A\cup B|=42\]

Answer:

42