Let $$ U=\{1,2,3, \ldots, 20\} $$. Write the following sets by listing the elements in braces. (a) $$ \{x \in U \mid 4

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**(a) Finding $$\{x \in U \mid 4 < x \leq 11\}$$:**

1. The condition is that $$x$$ must satisfy $$4 < x \leq 11$$.
2. Since $$U = \{1, 2, 3, \ldots, 20\}$$, we only consider integers from 1 to 20.
3. The integers greater than 4 and at most 11 are:
   $$
   5, 6, 7, 8, 9, 10, 11
   $$
4. Therefore, the set is:
   $$
   \{5,6,7,8,9,10,11\}
   $$

**(b) Finding $$\{x \in U \mid x$$ is divisible by 2$$\}$$:**

1. An integer $$x$$ is divisible by 2 if it is an even number.
2. The even numbers in $$U = \{1,2,3,\ldots,20\}$$ are:
   $$
   2,4,6,8,10,12,14,16,18,20
   $$
3. Therefore, the set is:
   $$
   \{2,4,6,8,10,12,14,16,18,20\}
   $$
**(a) $$\{5,6,7,8,9,10,11\}$$ **(b) $$\{2,4,6,8,10,12,14,16,18,20\}$$

Let \( U=\{1,2,3, \ldots, 20\} \). Write the following sets by listing the elements in braces. (a) \( \{x \in U \mid 4

Ask by Mcguire Lewis. in the United States

Mar 17,2025

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Let \( U=\{1,2,3, \ldots, 20\} \). Write the following sets by listing the elements in braces. (a) \( \{x \in U \mid 4 Ask by Mcguire Lewis. in the United States Mar 17,2025