Scroll:set and function >> set and function >> ps (4249)

Written Instructions:

For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..

For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.

Leave your answers in the simplest form or correct to two decimal places.


 

1)  

Verify the commutative property or set intersection for

A = {L, A, N, K, 6,9,12, 0},  B = {6, 15, 9, -6, A, N, K, J }

(B∩A)  



Answer:_______________




2)  

Verify the commutative property or set intersection for

A = {R, N, M, E, 2,3,4, 0},  B = {2, 5, 3, -2, N, M, E, K }

(B∩A)  



Answer:_______________




3)  

Verify the commutative property or set intersection for

A = {H, X, Q, N, 4,6,8, 0},  B = {4, 10, 6, -4, X, Q, N, Y }

(B∩A)  



Answer:_______________




4)  

Verify the commutative property or set intersection for

A = {T, I, D, U, 8,12,16, 0},  B = {8, 20, 12, -8, I, D, U, Y }

(B∩A)  



Answer:_______________




5)  

Verify the commutative property or set intersection for

A = {A, P, Y, V, 2,3,4, 0},  B = {2, 5, 3, -2, P, Y, V, N }

(B∩A)  



Answer:_______________




6)  

Verify the commutative property or set intersection for

A = {S, H, X, S, 6,9,12, 0},  B = {6, 15, 9, -6, H, X, S, Y }

(B∩A)  



Answer:_______________




7)  

Verify the commutative property or set intersection for

A = {N, U, W, I, 2,3,4, 0},  B = {2, 5, 3, -2, U, W, I, Y }

(B∩A)  



Answer:_______________




8)  

Verify the commutative property or set intersection for

A = {J, A, U, Z, 4,6,8, 0},  B = {4, 10, 6, -4, A, U, Z, R }

(B∩A)  



Answer:_______________




9)  

Verify the commutative property or set intersection for

A = {O, T, G, Y, 4,6,8, 0},  B = {4, 10, 6, -4, T, G, Y, Z }

(B∩A)  



Answer:_______________




10)  

Verify the commutative property or set intersection for

A = {L, R, T, V, 2,3,4, 0},  B = {2, 5, 3, -2, R, T, V, E }

(B∩A)  



Answer:_______________




 

1)  

Verify the commutative property or set intersection for

A = {Q, I, T, B, 6,9,12, 0},  B = {6, 15, 9, -6, I, T, B, O }

(B∩A)   Answer: I Answer: T Answer: B Answer: 6 Answer: 9



SOLUTION 1 :

Solution:

Now

A ∩ B =

    = { Q, I, T, B, 6, 9, 12, 0} ∩  {6, 15, 9, -6, I, T, B, O } 

  A ∩ B     =   { I,T,B, 6, 9 }  ............(1)

Also

B ∩ A =   {6, 15, 9, -6, I, T, B, O } ∩ { Q, I, T, B, 6, 9, 12, 0} 

B ∩ A  = { I,T,B, 6, 9 }  ..............(2)

From (1) and (2) we have A ∩ B  = B ∩ A for the given sets A, B.

Hence the commutative property of set intersection is verified.

 



2)  

Verify the commutative property or set intersection for

A = {G, Y, L, E, 2,3,4, 0},  B = {2, 5, 3, -2, Y, L, E, G }

(B∩A)   Answer: Y Answer: L Answer: E Answer: 2 Answer: 3



SOLUTION 1 :

Solution:

Now

A ∩ B =

    = { G, Y, L, E, 2, 3, 4, 0} ∩  {2, 5, 3, -2, Y, L, E, G } 

  A ∩ B     =   { Y,L,E, 2, 3 }  ............(1)

Also

B ∩ A =   {2, 5, 3, -2, Y, L, E, G } ∩ { G, Y, L, E, 2, 3, 4, 0} 

B ∩ A  = { Y,L,E, 2, 3 }  ..............(2)

From (1) and (2) we have A ∩ B  = B ∩ A for the given sets A, B.

Hence the commutative property of set intersection is verified.

 



3)  

Verify the commutative property or set intersection for

A = {X, P, D, N, 4,6,8, 0},  B = {4, 10, 6, -4, P, D, N, C }

(B∩A)   Answer: P Answer: D Answer: N Answer: 4 Answer: 6



SOLUTION 1 :

Solution:

Now

A ∩ B =

    = { X, P, D, N, 4, 6, 8, 0} ∩  {4, 10, 6, -4, P, D, N, C } 

  A ∩ B     =   { P,D,N, 4, 6 }  ............(1)

Also

B ∩ A =   {4, 10, 6, -4, P, D, N, C } ∩ { X, P, D, N, 4, 6, 8, 0} 

B ∩ A  = { P,D,N, 4, 6 }  ..............(2)

From (1) and (2) we have A ∩ B  = B ∩ A for the given sets A, B.

Hence the commutative property of set intersection is verified.

 



4)  

Verify the commutative property or set intersection for

A = {T, U, S, R, 8,12,16, 0},  B = {8, 20, 12, -8, U, S, R, N }

(B∩A)   Answer: U Answer: S Answer: R Answer: 8 Answer: 12



SOLUTION 1 :

Solution:

Now

A ∩ B =

    = { T, U, S, R, 8, 12, 16, 0} ∩  {8, 20, 12, -8, U, S, R, N } 

  A ∩ B     =   { U,S,R, 8, 12 }  ............(1)

Also

B ∩ A =   {8, 20, 12, -8, U, S, R, N } ∩ { T, U, S, R, 8, 12, 16, 0} 

B ∩ A  = { U,S,R, 8, 12 }  ..............(2)

From (1) and (2) we have A ∩ B  = B ∩ A for the given sets A, B.

Hence the commutative property of set intersection is verified.

 



5)  

Verify the commutative property or set intersection for

A = {O, B, J, R, 2,3,4, 0},  B = {2, 5, 3, -2, B, J, R, L }

(B∩A)   Answer: B Answer: J Answer: R Answer: 2 Answer: 3



SOLUTION 1 :

Solution:

Now

A ∩ B =

    = { O, B, J, R, 2, 3, 4, 0} ∩  {2, 5, 3, -2, B, J, R, L } 

  A ∩ B     =   { B,J,R, 2, 3 }  ............(1)

Also

B ∩ A =   {2, 5, 3, -2, B, J, R, L } ∩ { O, B, J, R, 2, 3, 4, 0} 

B ∩ A  = { B,J,R, 2, 3 }  ..............(2)

From (1) and (2) we have A ∩ B  = B ∩ A for the given sets A, B.

Hence the commutative property of set intersection is verified.

 



6)  

Verify the commutative property or set intersection for

A = {D, P, N, M, 6,9,12, 0},  B = {6, 15, 9, -6, P, N, M, C }

(B∩A)   Answer: P Answer: N Answer: M Answer: 6 Answer: 9



SOLUTION 1 :

Solution:

Now

A ∩ B =

    = { D, P, N, M, 6, 9, 12, 0} ∩  {6, 15, 9, -6, P, N, M, C } 

  A ∩ B     =   { P,N,M, 6, 9 }  ............(1)

Also

B ∩ A =   {6, 15, 9, -6, P, N, M, C } ∩ { D, P, N, M, 6, 9, 12, 0} 

B ∩ A  = { P,N,M, 6, 9 }  ..............(2)

From (1) and (2) we have A ∩ B  = B ∩ A for the given sets A, B.

Hence the commutative property of set intersection is verified.

 



7)  

Verify the commutative property or set intersection for

A = {T, L, J, W, 2,3,4, 0},  B = {2, 5, 3, -2, L, J, W, V }

(B∩A)   Answer: L Answer: J Answer: W Answer: 2 Answer: 3



SOLUTION 1 :

Solution:

Now

A ∩ B =

    = { T, L, J, W, 2, 3, 4, 0} ∩  {2, 5, 3, -2, L, J, W, V } 

  A ∩ B     =   { L,J,W, 2, 3 }  ............(1)

Also

B ∩ A =   {2, 5, 3, -2, L, J, W, V } ∩ { T, L, J, W, 2, 3, 4, 0} 

B ∩ A  = { L,J,W, 2, 3 }  ..............(2)

From (1) and (2) we have A ∩ B  = B ∩ A for the given sets A, B.

Hence the commutative property of set intersection is verified.

 



8)  

Verify the commutative property or set intersection for

A = {Y, E, F, P, 4,6,8, 0},  B = {4, 10, 6, -4, E, F, P, J }

(B∩A)   Answer: E Answer: F Answer: P Answer: 4 Answer: 6



SOLUTION 1 :

Solution:

Now

A ∩ B =

    = { Y, E, F, P, 4, 6, 8, 0} ∩  {4, 10, 6, -4, E, F, P, J } 

  A ∩ B     =   { E,F,P, 4, 6 }  ............(1)

Also

B ∩ A =   {4, 10, 6, -4, E, F, P, J } ∩ { Y, E, F, P, 4, 6, 8, 0} 

B ∩ A  = { E,F,P, 4, 6 }  ..............(2)

From (1) and (2) we have A ∩ B  = B ∩ A for the given sets A, B.

Hence the commutative property of set intersection is verified.

 



9)  

Verify the commutative property or set intersection for

A = {E, G, S, T, 4,6,8, 0},  B = {4, 10, 6, -4, G, S, T, R }

(B∩A)   Answer: G Answer: S Answer: T Answer: 4 Answer: 6



SOLUTION 1 :

Solution:

Now

A ∩ B =

    = { E, G, S, T, 4, 6, 8, 0} ∩  {4, 10, 6, -4, G, S, T, R } 

  A ∩ B     =   { G,S,T, 4, 6 }  ............(1)

Also

B ∩ A =   {4, 10, 6, -4, G, S, T, R } ∩ { E, G, S, T, 4, 6, 8, 0} 

B ∩ A  = { G,S,T, 4, 6 }  ..............(2)

From (1) and (2) we have A ∩ B  = B ∩ A for the given sets A, B.

Hence the commutative property of set intersection is verified.

 



10)  

Verify the commutative property or set intersection for

A = {X, F, Q, K, 2,3,4, 0},  B = {2, 5, 3, -2, F, Q, K, Z }

(B∩A)   Answer: F Answer: Q Answer: K Answer: 2 Answer: 3



SOLUTION 1 :

Solution:

Now

A ∩ B =

    = { X, F, Q, K, 2, 3, 4, 0} ∩  {2, 5, 3, -2, F, Q, K, Z } 

  A ∩ B     =   { F,Q,K, 2, 3 }  ............(1)

Also

B ∩ A =   {2, 5, 3, -2, F, Q, K, Z } ∩ { X, F, Q, K, 2, 3, 4, 0} 

B ∩ A  = { F,Q,K, 2, 3 }  ..............(2)

From (1) and (2) we have A ∩ B  = B ∩ A for the given sets A, B.

Hence the commutative property of set intersection is verified.