From the sets given below, select equal sets: A = {2, 4, 8, 12}, B = {1, 2, 3, 4}, C = {4, 8, 12, 14}, D = {3, 1, 4, 2} E = {–1, 1}, F = {0, a }, G = {1, –1}, H = {0, 1}

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Solution

Given sets are,

A={ 2,4,8,12 } , B={ 1,2,3,4 } , C={ 4,8,12,14 } , D={ 3,1,4,2 } , E={ −1,1 } , F={ 0,a } , G={ 1,−1 } and H={ 0,1 } .

Two sets are equal if they have the same elements.

The element 8∈A and 8∈C . Element 8 does not belong to any other set.

Also 2∈A , but 2∉C . Therefore, A≠C .

The element 3∈B and 3∈D . Element 3 does not belong to any other set.

All the elements of set B belong to D. Therefore, B=D .

The element 14∈C , but it does not belong to any other set.

The element −1∈E and −1∈G . Also 1∈E and 1∈G . Therefore, E=G .

All the elements of set F and H does not belong to any other set.

Therefore, B=D,E=G .

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Similar questions

A = {2, 4, 8, 12},

B = {1, 2, 3, 4},

C = {4, 8, 12, 14},

D = {3, 1, 4, 2}

E = {- 1, 1},

F = {0, a},

G = {- 1, 1},

H = {0, 1}

From the sets given below, select equal sets :

A = {2, 4, 8, 12}, B = {1, 2, 3, 4},

C = {4, 8, 12, 14}, D = {3, 1, 4, 2},

E = {-1, 1}, F = {0, a}

G = {1, -1}, H = {0, 1}

A = {2, 4, 8, 12}, B = {1, 2, 3, 4}, C = {4, 8, 12, 14}, D = {3, 1, 4, 2}

E = {- 1, 1}, F = {0, a}, G = {1, - 1}, H = {0, 1}

A = {12, 14, 18, 22}, B = {11, 12, 13, 14}, C = {14, 18, 22, 24}, D = {13, 11, 12, 14},

E = {- 11, 11}, F = {10, 19}, G = {11, - 11}, H = {10, 11}

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