Math / Discrete

QuestionQuestion 7 (1 point) Consider the following sets: $A = \{1, 2, 3, 4, 5, 6, 7, 8\}$ $B = \{6, 7, 8, 9, 10, 11, 12\}$ $C = \{2, 4, 6, 8, 10\}$ What is $B \cap C$ ? $\{6, 8, 10\}$ $\{2, 4, 6, 6, 7, 8, 8, 9, 10, 11, 12\}$ $\{2, 4, 7, 11, 12\}$ $\{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12\}$ Previous Page Next Page

Studdy Solution

STEP 1

What is this asking? Find the numbers that are both in set $B$ and set $C$ . Watch out! Don't mix up intersection and union!
Intersection means "what's in both sets", while union means "what's in either set".

STEP 2

1. Examine Set B
2. Examine Set C
3. Find the Intersection

STEP 3

Alright, let's kick things off with set $B$ !
We've got $B = \{6, 7, 8, 9, 10, 11, 12\}$ .
Remember these numbers, they're our VIPs for this step!

STEP 4

Next up is set $C$ !
It's got $C = \{2, 4, 6, 8, 10\}$ .
Keep your eyes peeled for these rockstars!

STEP 5

Now for the grand finale: finding the intersection of $B$ and $C$ , written as $B \cap C$ .
This means we're looking for the numbers that are in both sets $B$ and $C$ .

STEP 6

Let's hunt for matching numbers.
Is $6$ in both sets?
Yes! Is $7$ in both sets?
Nope, only in $B$ .
Is $8$ in both?
You bet!
How about $9$ ?
No, just in $B$ . $10$ ?
Yes, it's in both! $11$ and $12$ ?
Nah, they're only hanging out in set $B$ .

STEP 7

So, the numbers that are in both $B$ and $C$ are $6$ , $8$ , and $10$ .
That means $B \cap C = \{6, 8, 10\}$ !

STEP 8

The intersection of sets $B$ and $C$ is $\{6, 8, 10\}$ .

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Studdy Solution

STEP 1

What is this asking? Find the numbers that are both in set $B$ and set $C$ . Watch out! Don't mix up intersection and union!
Intersection means "what's in both sets", while union means "what's in either set".

STEP 2

1. Examine Set B
2. Examine Set C
3. Find the Intersection

STEP 3

Alright, let's kick things off with set $B$ !
We've got $B = \{6, 7, 8, 9, 10, 11, 12\}$ .
Remember these numbers, they're our VIPs for this step!

STEP 4

Next up is set $C$ !
It's got $C = \{2, 4, 6, 8, 10\}$ .
Keep your eyes peeled for these rockstars!

STEP 5

Now for the grand finale: finding the intersection of $B$ and $C$ , written as $B \cap C$ .
This means we're looking for the numbers that are in both sets $B$ and $C$ .

STEP 6

Let's hunt for matching numbers.
Is $6$ in both sets?
Yes! Is $7$ in both sets?
Nope, only in $B$ .
Is $8$ in both?
You bet!
How about $9$ ?
No, just in $B$ . $10$ ?
Yes, it's in both! $11$ and $12$ ?
Nah, they're only hanging out in set $B$ .

STEP 7

So, the numbers that are in both $B$ and $C$ are $6$ , $8$ , and $10$ .
That means $B \cap C = \{6, 8, 10\}$ !

STEP 8

The intersection of sets $B$ and $C$ is $\{6, 8, 10\}$ .

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Studdy Solution

STEP 1

What is this asking? Find the numbers that are *both* in set BBB and set CCC. Watch out! Don't mix up intersection and union!Intersection means "what's in *both* sets", while union means "what's in *either* set".

STEP 2

1. Examine Set B2. Examine Set C3. Find the Intersection

STEP 3

Alright, let's **kick things off** with set BBB!We've got B={6,7,8,9,10,11,12}B = \{6, 7, 8, 9, 10, 11, 12\}B={6,7,8,9,10,11,12}.Remember these numbers, they're our **VIPs** for this step!

STEP 4

Next up is set CCC!It's got C={2,4,6,8,10}C = \{2, 4, 6, 8, 10\}C={2,4,6,8,10}.Keep your eyes peeled for these **rockstars**!

STEP 5

Now for the **grand finale**: finding the intersection of BBB and CCC, written as B∩CB \cap CB∩C.This means we're looking for the numbers that are in *both* sets BBB and CCC.

STEP 6

Let's **hunt** for **matching numbers**.Is 666 in both sets?Yes! Is 777 in both sets?Nope, only in BBB.Is 888 in both?You bet!How about 999?No, just in BBB. 101010?Yes, it's in both! 111111 and 121212?Nah, they're only hanging out in set BBB.

STEP 7

So, the numbers that are in *both* BBB and CCC are 666, 888, and 101010.That means B∩C={6,8,10}B \cap C = \{6, 8, 10\}B∩C={6,8,10}!

STEP 8

The intersection of sets BBB and CCC is {6,8,10}\{6, 8, 10\}{6,8,10}.

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Studdy solves anything!

Start learning now

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What is this asking? Find the numbers that are both in set $B$ and set $C$ . Watch out! Don't mix up intersection and union!
Intersection means "what's in both sets", while union means "what's in either set".

1. Examine Set B
2. Examine Set C
3. Find the Intersection

Alright, let's kick things off with set $B$ !
We've got $B = \{6, 7, 8, 9, 10, 11, 12\}$ .
Remember these numbers, they're our VIPs for this step!

Next up is set $C$ !
It's got $C = \{2, 4, 6, 8, 10\}$ .
Keep your eyes peeled for these rockstars!

Now for the grand finale: finding the intersection of $B$ and $C$ , written as $B \cap C$ .
This means we're looking for the numbers that are in both sets $B$ and $C$ .

Let's hunt for matching numbers.
Is $6$ in both sets?
Yes! Is $7$ in both sets?
Nope, only in $B$ .
Is $8$ in both?
You bet!
How about $9$ ?
No, just in $B$ . $10$ ?
Yes, it's in both! $11$ and $12$ ?
Nah, they're only hanging out in set $B$ .

So, the numbers that are in both $B$ and $C$ are $6$ , $8$ , and $10$ .
That means $B \cap C = \{6, 8, 10\}$ !

The intersection of sets $B$ and $C$ is $\{6, 8, 10\}$ .