If set C is defined as {x | x is an integer and x is divisible by 3}, which of t
Practice Questions
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?
6
9
10
12
Questions & Step-by-Step Solutions
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?
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.
Divisibility – Understanding the concept of divisibility, specifically how to determine if an integer is divisible by another integer (in this case, 3).
Set Notation – Interpreting set notation and understanding membership in a defined set based on given criteria.
