Using the Venn diagram, find the
intersection of 𝑋 and 𝑌 bar.
Let’s begin by defining some of the
notation in this question. The little 𝑛 symbol means the
intersection or and. We’re trying to find the set of
values that are in 𝑋 and in 𝑌 bar. 𝑌 bar, sometimes written 𝑌 prime,
means the complement of 𝑌. This is all the values that are not
in set 𝑌.
The values in set 𝑋 are two, four,
five, and seven. The values in set 𝑌 are four,
five, six, and nine. This means that the set of values
not in 𝑌 are one, two, three, seven, and eight. This is the
complement of 𝑌.
We need the set of values that are
in 𝑋 and in the complement of 𝑌. Only two numbers appear in both
sets, two and seven. The intersection of 𝑋 and 𝑌 bar
is two and seven. These are the values that are in
set 𝑋 and also not in set 𝑌.