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If a set is defined as {x | x is a natural number and x < 10}, which of the f
If a set is defined as {x | x is a natural number and x < 10}, which of the following is a valid element of this set?
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Q1
If a set is defined as {x | x is a natural number and x < 10}, which of the following is a valid element of this set?
10
5
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The valid element of the set is 5, as it is a natural number and less than 10.
Questions & Step-by-step Solutions
1 item
Q
Q: If a set is defined as {x | x is a natural number and x < 10}, which of the following is a valid element of this set?
Solution:
The valid element of the set is 5, as it is a natural number and less than 10.
Steps: 5
Show Steps
Step 1: Understand what a natural number is. Natural numbers are the positive integers starting from 1, like 1, 2, 3, 4, 5, and so on.
Step 2: Look at the set definition: {x | x is a natural number and x < 10}. This means we are looking for natural numbers that are less than 10.
Step 3: List the natural numbers less than 10: 1, 2, 3, 4, 5, 6, 7, 8, 9.
Step 4: Check if 5 is in the list of natural numbers less than 10. Yes, 5 is included.
Step 5: Conclude that 5 is a valid element of the set.
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