Question Video: Finding a Set given Its Cartesian Product with Another Set | Nagwa Question Video: Finding a Set given Its Cartesian Product with Another Set | Nagwa

# Question Video: Finding a Set given Its Cartesian Product with Another Set Mathematics • Third Year of Preparatory School

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If π Γ π = {(8, 0), (8, 6), (1, 0), (1,6), (3, 0), (3, 6)}, find π.

01:06

### Video Transcript

If the Cartesian product of set π and set π is equal to the set of ordered pairs eight, zero; eight, six; one, zero; one, six; three, zero; three, six, find set π.

The notation in the question denotes the Cartesian product. This is the set of all ordered pairs. As the first value of our Cartesian product is π, the first values in our ordered pairs must all be contained in set π. Likewise, the second values in the ordered pairs must be contained in set π. As there are three different π-values in our set of ordered pairs, set π will contain these three values. Theyβre the numbers eight, one, and three. There are two different π-values, the numbers zero and six. As we are only interested in set π, the correct answer is eight, one, and three.

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