Write the set $A = \{ 1, 4, 9, 16, 25, \dots \}$ in set-builder form.
- A$A = \{ x : x = n^2, n \in \mathbb{N} \}$
- B$A = \{ x : x = n, n \in \mathbb{N} \}$
- C$A = \{ x : x = 2n, n \in \mathbb{N} \}$
- D$A = \{ x : x = n^3, n \in \mathbb{N} \}$
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In each of the following,determine whether the statement is true or false. If it is true,prove it. If it is false,give an example.
If $A \subset B$ and $B \subset C$,then $A \subset C$.
If $A \subset B$ and $B \subset C$,then $A \subset C$.
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$D = \{ x : x \text{ is a letter in the word } \text{"LOYAL"} \}$
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View SolutionWrite the following set in roster form:
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$C = \{ x : x \text{ is a two-digit natural number such that the sum of its digits is } 8 \}$
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