Question

From the sets given below, select equal sets and equivalent sets. 

A = {0, a}, 

B = {1, 2, 3, 4} 

C = {4, 8, 12}, 

D = {3, 1, 2, 4}, 

E = {1, 0}, 

F = {8, 4, 12} 

G = {1, 5, 7, 11}, 

H = {a, b}

Answer 1

We first of all need to manipulate some of the sets 

D = {3, 1, 2, 4} = {1, 2, 3, 4, } 

F = {8, 4, 12} = {4, 8, 12} 

Equivalent sets: 

i. A, E, H (all of them have exactly two elements in them) 

ii. B, D, G (all of them have exactly four elements in them) 

iii. C, F (all of them have exactly three elements in them) 

Equal sets : 

i. B, D (all of them have exactly the same elements, so they are equal)

ii. C, F (all of them have exactly the same elements, so they are equal)