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Question
Given that E = {2, 4, 6, 8, 10}. If n represents any member of E, then, write the following sets containing all numbers represented by n2
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Solution
Given E = {2, 4, 6, 8, 10}
Let B = {x | x = n2, n ∈ E}
So, for 2 ∈ E
x = (2)2
= 4, 4 ∈ E, x
= (4)2
= 16, 6 ∈ E, x
= (6)2
= 36,
And so on.
Hence, B = {4, 16, 36, 64, 100}.
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