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Write in extensive form the set A = {2x / x<20, x ε N}.

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Answer to a math question Write in extensive form the set A = {2x / x<20, x ε N}.

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1. Identify \( x \in \mathbb{N} \) and \( x < 20 \)
x = 1, 2, 3, \ldots, 19
2. Calculate \( 2x \) for each \( x \) from 1 to 19:
2 \cdot 1 = 2
2 \cdot 2 = 4
2 \cdot 3 = 6
\ldots
2 \cdot 19 = 38
3. Combine these into the set:
A = \{2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38\}
4. Answer:
A = \{2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38\}

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