QuestionFind the complement of set $A=\{m, p, q, r\}$ in the universal set $U=\{1, m, n, o, p, q, r\}$ . List $A^{\prime}$ .
$A^{\prime}=$

Studdy Solution

STEP 1

Assumptions1. The set is the universal set and contains all the elements under consideration. . The set $A$ is a subset of .
3. $A^{\prime}$ represents the complement of set $A$ with respect to the universal set . This means $A^{\prime}$ contains all the elements of that are not in $A$ .

STEP 2

First, we need to identify the elements in the universal set $$.
$=\{1, m, n, o, p, q, r\}$

STEP 3

Next, identify the elements in set $A$ .
$A=\{m, p, q, r\}$

STEP 4

To find the complement of set $A$ , we need to identify the elements in $$ that are not in $A$.
$A^{\prime}=-A$

STEP 5

Subtract the elements of set $A$ from set $$ to find the elements of $A^{\prime}$.
$A^{\prime}=\{1, m, n, o, p, q, r\}-\{m, p, q, r\}$

STEP 6

Calculate the elements of $A^{\prime}$ .
$A^{\prime}=\{1, n, o\}$ So, the complement of set $A$ with respect to the universal set $$ is $\{1, n, o\}$.

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QuestionFind the complement of set $A=\{m, p, q, r\}$ in the universal set $U=\{1, m, n, o, p, q, r\}$ . List $A^{\prime}$ .
$A^{\prime}=$

Studdy Solution

STEP 1

Assumptions1. The set is the universal set and contains all the elements under consideration. . The set $A$ is a subset of .
3. $A^{\prime}$ represents the complement of set $A$ with respect to the universal set . This means $A^{\prime}$ contains all the elements of that are not in $A$ .

STEP 2

First, we need to identify the elements in the universal set $$.
$=\{1, m, n, o, p, q, r\}$

STEP 3

Next, identify the elements in set $A$ .
$A=\{m, p, q, r\}$

STEP 4

To find the complement of set $A$ , we need to identify the elements in $$ that are not in $A$.
$A^{\prime}=-A$

STEP 5

Subtract the elements of set $A$ from set $$ to find the elements of $A^{\prime}$.
$A^{\prime}=\{1, m, n, o, p, q, r\}-\{m, p, q, r\}$

STEP 6

Calculate the elements of $A^{\prime}$ .
$A^{\prime}=\{1, n, o\}$ So, the complement of set $A$ with respect to the universal set $$ is $\{1, n, o\}$.

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QuestionFind the complement of set A={m,p,q,r}A=\{m, p, q, r\}A={m,p,q,r} in the universal set U={1,m,n,o,p,q,r}U=\{1, m, n, o, p, q, r\}U={1,m,n,o,p,q,r}. List A′A^{\prime}A′. A′= A^{\prime}= A′=

Studdy Solution

STEP 1

Assumptions1. The set is the universal set and contains all the elements under consideration. . The set $A$ is a subset of .3. A′A^{\prime}A′ represents the complement of set AAA with respect to the universal set . This means $A^{\prime}$ contains all the elements of that are not in AAA.

STEP 2

First, we need to identify the elements in the universal set $$.={1,m,n,o,p,q,r}=\{1, m, n, o, p, q, r\}={1,m,n,o,p,q,r}

STEP 3

Next, identify the elements in set AAA.A={m,p,q,r}A=\{m, p, q, r\}A={m,p,q,r}

STEP 4

To find the complement of set AAA, we need to identify the elements in $$ that are not in $A$.A′=−AA^{\prime}=-AA′=−A

STEP 5

Subtract the elements of set AAA from set $$ to find the elements of $A^{\prime}$.A′={1,m,n,o,p,q,r}−{m,p,q,r}A^{\prime}=\{1, m, n, o, p, q, r\}-\{m, p, q, r\}A′={1,m,n,o,p,q,r}−{m,p,q,r}

STEP 6

Calculate the elements of A′A^{\prime}A′.A′={1,n,o}A^{\prime}=\{1, n, o\}A′={1,n,o}So, the complement of set AAA with respect to the universal set $$ is $\{1, n, o\}$.

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Studdy solves anything!

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Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionFind the complement of set $A=\{m, p, q, r\}$ in the universal set $U=\{1, m, n, o, p, q, r\}$ . List $A^{\prime}$ .
$A^{\prime}=$

Assumptions1. The set is the universal set and contains all the elements under consideration. . The set $A$ is a subset of .
3. $A^{\prime}$ represents the complement of set $A$ with respect to the universal set . This means $A^{\prime}$ contains all the elements of that are not in $A$ .

First, we need to identify the elements in the universal set $$.
$=\{1, m, n, o, p, q, r\}$

Next, identify the elements in set $A$ .
$A=\{m, p, q, r\}$

To find the complement of set $A$ , we need to identify the elements in $$ that are not in $A$.
$A^{\prime}=-A$

Subtract the elements of set $A$ from set $$ to find the elements of $A^{\prime}$.
$A^{\prime}=\{1, m, n, o, p, q, r\}-\{m, p, q, r\}$

Calculate the elements of $A^{\prime}$ .
$A^{\prime}=\{1, n, o\}$ So, the complement of set $A$ with respect to the universal set $$ is $\{1, n, o\}$.