In a scenario where set B is defined as {x | x is a natural number and x < 10
Practice Questions
Q1
In a scenario where set B is defined as {x | x is a natural number and x < 10}, which of the following elements would violate the constraints of set B?
5
10
0
7
Questions & Step-by-Step Solutions
In a scenario where set B is defined as {x | x is a natural number and x < 10}, which of the following elements would violate the constraints of set B?
Step 1: Understand what set B is. Set B is defined as {x | x is a natural number and x < 10}. This means set B includes all natural numbers that are less than 10.
Step 2: Identify what natural numbers are. Natural numbers are the positive integers starting from 1, which are 1, 2, 3, 4, 5, 6, 7, 8, 9, and so on.
Step 3: List the natural numbers that are less than 10. These numbers are 1, 2, 3, 4, 5, 6, 7, 8, and 9.
Step 4: Check the element in question, which is 10. We need to see if 10 is a natural number and if it is less than 10.
Step 5: Determine if 10 is a natural number. Yes, 10 is a natural number.
Step 6: Check if 10 is less than 10. No, 10 is not less than 10; it is equal to 10.
Step 7: Conclude that since 10 is not less than 10, it violates the constraints of set B and cannot be included in set B.
