Chapter 1: Sets

Exercise

Question

Question: 6

21 / 21

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}

Answer

1
Arrange the elements of each set in ascending/alphabetical order for easy comparison.
A = {2, 4, 8, 12}
B = {1, 2, 3, 4}
C = {4, 8, 12, 14}
D = {1, 2, 3, 4}
E = {-1, 1}
F = {0, a}
G = {-1, 1}
H = {0, 1}
2
Determine which sets contain exactly the same elements.
Answer: B = D, E = G
Reason: Sets B and D contain exactly the same elements. Similarly, sets E and G also contain exactly the same elements.
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