Write the following sets in the roster form. (a) D = {x : x = 3p, p ∈ W, p ≤= 3} (b) E = {x : x = a ^ 2, a ∈ N, 3 < a < 7} (c) J = {x : x \∈ N, x ^ 2 < 16}
Question
Write the following sets in the roster form. (a) D = {x : x = 3p, p ∈ W, p ≤= 3} (b) E = {x : x = a ^ 2, a ∈ N, 3 < a < 7} (c) J = {x : x \∈ N, x ^ 2 < 16}
Solution
(a) D = {0, 3, 6, 9} (b) E = {16, 25, 36} (c) J = {x : x ∈ R - N, x^2 < 16} is a set of real numbers excluding natural numbers where the square of the number is less than 16. This set cannot be written in roster form as it contains an infinite number of elements.
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