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Let set [tex]C = \{0,1,3,10\}[/tex] and set [tex]D = \{2,4,6,8,10\}[/tex].

What is [tex]C \cap D[/tex]?

A. [tex]\{10\}[/tex]

Sagot :

GinnyAnswer
To find the intersection of sets [tex]\( C \)[/tex] and [tex]\( D \)[/tex], we need to determine which elements are common to both sets.

First, let's list the elements of each set:
- Set [tex]\( C \)[/tex] consists of [tex]\(\{0, 1, 3, 10\}\)[/tex].
- Set [tex]\( D \)[/tex] consists of [tex]\(\{2, 4, 6, 8, 10\}\)[/tex].

Next, we compare the elements of both sets and identify the elements present in both [tex]\( C \)[/tex] and [tex]\( D \)[/tex].

Starting with set [tex]\( C \)[/tex]:
- [tex]\( 0 \)[/tex] is in [tex]\( C \)[/tex] but not in [tex]\( D \)[/tex].
- [tex]\( 1 \)[/tex] is in [tex]\( C \)[/tex] but not in [tex]\( D \)[/tex].
- [tex]\( 3 \)[/tex] is in [tex]\( C \)[/tex] but not in [tex]\( D \)[/tex].
- [tex]\( 10 \)[/tex] is in both [tex]\( C \)[/tex] and [tex]\( D \)[/tex].

Similarly, let's check set [tex]\( D \)[/tex]:
- [tex]\( 2 \)[/tex] is in [tex]\( D \)[/tex] but not in [tex]\( C \)[/tex].
- [tex]\( 4 \)[/tex] is in [tex]\( D \)[/tex] but not in [tex]\( C \)[/tex].
- [tex]\( 6 \)[/tex] is in [tex]\( D \)[/tex] but not in [tex]\( C \)[/tex].
- [tex]\( 8 \)[/tex] is in [tex]\( D \)[/tex] but not in [tex]\( C \)[/tex].
- [tex]\( 10 \)[/tex] is in both [tex]\( D \)[/tex] and [tex]\( C \)[/tex].

From this comparison, we can see that the only element common to both sets is [tex]\( 10 \)[/tex].

Therefore, the intersection of sets [tex]\( C \)[/tex] and [tex]\( D \)[/tex] is:
[tex]\[ C \cap D = \{10\} \][/tex]
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