Question Find the cardinal number of set \[ C=\{x \mid 25

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UpStudy AI · Accepted Answer

1. Recognize that the inequality $$ 25 < x < 40 $$ means $$ x $$ must be an integer strictly between 25 and 40.
2. The smallest integer satisfying the inequality is $$ 26 $$ and the largest is $$ 39 $$.
3. The set can be written as:
   $$
   C = \{26, 27, 28, \dots, 38, 39\}
   $$
4. The number of elements in $$ C $$ is given by:
   $$
   \text{cardinality} = 39 - 26 + 1 = 14
   $$
5. Therefore, the cardinal number of the set $$ C $$ is $$ 14 $$.
The set $$ C $$ contains the integers from 26 to 39. There are 14 numbers in this range.

Question Find the cardinal number of set \[ C=\{x \mid 25

Ask by Pena Tucker. in the United States

Mar 09,2025

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Question Find the cardinal number of set \[ C=\{x \mid 25 Ask by Pena Tucker. in the United States Mar 09,2025