Question Find the intersection of two sets $C = \{3, 9, 7\}$ and $D = \{4, 5\}$ .

Studdy Solution

STEP 1

Assumptions
1. Set $C$ contains the elements \{3, 9, 7\}.
2. Set $D$ contains the elements \{4, 5\}.
3. We are looking for the intersection of sets $C$ and $D$ , denoted as $C \cap D$ .
4. The intersection of two sets is the set of elements that are common to both sets.

STEP 2

To find the intersection $C \cap D$ , we need to identify any elements that are present in both set $C$ and set $D$ .

STEP 3

List the elements of set $C$ : \{3, 9, 7\}.

STEP 4

List the elements of set $D$ : \{4, 5\}.

STEP 5

Compare the elements of set $C$ with the elements of set $D$ to determine if there are any common elements.

STEP 6

Notice that there are no elements in set $C$ that are also in set $D$ .

STEP 7

Since there are no common elements, the intersection $C \cap D$ is the empty set.
$C \cap D = \emptyset$
The intersection of the two sets $C$ and $D$ is the empty set.

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Question Find the intersection of two sets $C = \{3, 9, 7\}$ and $D = \{4, 5\}$ .

Studdy Solution

STEP 1

Assumptions
1. Set $C$ contains the elements \{3, 9, 7\}.
2. Set $D$ contains the elements \{4, 5\}.
3. We are looking for the intersection of sets $C$ and $D$ , denoted as $C \cap D$ .
4. The intersection of two sets is the set of elements that are common to both sets.

STEP 2

To find the intersection $C \cap D$ , we need to identify any elements that are present in both set $C$ and set $D$ .

STEP 3

List the elements of set $C$ : \{3, 9, 7\}.

STEP 4

List the elements of set $D$ : \{4, 5\}.

STEP 5

Compare the elements of set $C$ with the elements of set $D$ to determine if there are any common elements.

STEP 6

Notice that there are no elements in set $C$ that are also in set $D$ .

STEP 7

Since there are no common elements, the intersection $C \cap D$ is the empty set.
$C \cap D = \emptyset$
The intersection of the two sets $C$ and $D$ is the empty set.

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Question Find the intersection of two sets C={3,9,7}C = \{3, 9, 7\}C={3,9,7} and D={4,5}D = \{4, 5\}D={4,5}.

Studdy Solution

STEP 1

Assumptions1. Set C C C contains the elements \{3, 9, 7\}.2. Set D D D contains the elements \{4, 5\}.3. We are looking for the intersection of sets C C C and D D D, denoted as C∩D C \cap D C∩D.4. The intersection of two sets is the set of elements that are common to both sets.

STEP 2

To find the intersection C∩D C \cap D C∩D, we need to identify any elements that are present in both set C C C and set D D D.

STEP 3

List the elements of set C C C: \{3, 9, 7\}.

STEP 4

List the elements of set D D D: \{4, 5\}.

STEP 5

Compare the elements of set C C C with the elements of set D D D to determine if there are any common elements.

STEP 6

Notice that there are no elements in set C C C that are also in set D D D.

STEP 7

Since there are no common elements, the intersection C∩D C \cap D C∩D is the empty set.C∩D=∅ C \cap D = \emptyset C∩D=∅The intersection of the two sets C C C and D D D is the empty set.

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Question Find the intersection of two sets $C = \{3, 9, 7\}$ and $D = \{4, 5\}$ .

Assumptions
1. Set $C$ contains the elements \{3, 9, 7\}.
2. Set $D$ contains the elements \{4, 5\}.
3. We are looking for the intersection of sets $C$ and $D$ , denoted as $C \cap D$ .
4. The intersection of two sets is the set of elements that are common to both sets.

To find the intersection $C \cap D$ , we need to identify any elements that are present in both set $C$ and set $D$ .

List the elements of set $C$ : \{3, 9, 7\}.

List the elements of set $D$ : \{4, 5\}.

Compare the elements of set $C$ with the elements of set $D$ to determine if there are any common elements.

Notice that there are no elements in set $C$ that are also in set $D$ .

Since there are no common elements, the intersection $C \cap D$ is the empty set.
$C \cap D = \emptyset$
The intersection of the two sets $C$ and $D$ is the empty set.