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If set C is defined as {x | x is an integer and x is divisible by 3}, which of t
If set C is defined as {x | x is an integer and x is divisible by 3}, which of the following integers is NOT a member of set C?
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Q1
If set C is defined as {x | x is an integer and x is divisible by 3}, which of the following integers is NOT a member of set C?
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The integer 10 is not divisible by 3, hence it is not a member of set C.
Questions & Step-by-step Solutions
1 item
Q
Q: If set C is defined as {x | x is an integer and x is divisible by 3}, which of the following integers is NOT a member of set C?
Solution:
The integer 10 is not divisible by 3, hence it is not a member of set C.
Steps: 6
Show Steps
Step 1: Understand what set C is. Set C includes all integers that can be divided by 3 without leaving a remainder.
Step 2: Identify the integers you want to check. In this case, we are checking the integer 10.
Step 3: Check if 10 is divisible by 3. To do this, divide 10 by 3.
Step 4: Perform the division: 10 ÷ 3 = 3 with a remainder of 1.
Step 5: Since there is a remainder (1), this means 10 is not divisible by 3.
Step 6: Conclude that because 10 is not divisible by 3, it is not a member of set C.
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