Question 1 Express the set using roster notation. $$ \{x: x \in \mathbb{N} $$ and $$ 9

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To express the set $$ \{x: x \in \mathbb{N} \text{ and } 9 < x \leq 14\} $$ using roster notation, we need to identify the natural numbers that satisfy the given conditions.

1. The condition $$ 9 < x $$ means $$ x $$ must be greater than 9.
2. The condition $$ x \leq 14 $$ means $$ x $$ must be less than or equal to 14.
3. The natural numbers $$ \mathbb{N} $$ are $$ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, \ldots $$

Now, we find the natural numbers that satisfy both conditions:

- The smallest natural number greater than 9 is 10.
- The largest natural number less than or equal to 14 is 14.

Thus, the natural numbers that satisfy $$ 9 < x \leq 14 $$ are $$ 10, 11, 12, 13, 14 $$.

Therefore, in roster notation, the set can be expressed as:

$$
\{10, 11, 12, 13, 14\}
$$

So, the final answer is:

$$
\{\square\} = \{10, 11, 12, 13, 14\}
$$
$$ \{\square\} = \{10, 11, 12, 13, 14\} $$

Question 1 Express the set using roster notation. \( \{x: x \in \mathbb{N} \) and \( 9

Ask by Franklin Bowers. in the United States

Mar 11,2025

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Question 1 Express the set using roster notation. \( \{x: x \in \mathbb{N} \) and \( 9 Ask by Franklin Bowers. in the United States Mar 11,2025