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If C = {x | x is an even integer less than 10}, what is the set C?
Practice Questions
Q1
If C = {x | x is an even integer less than 10}, what is the set C?
{0, 2, 4, 6, 8}
{2, 4, 6, 8, 10}
{1, 3, 5, 7, 9}
{-2, -4, -6, -8}
Questions & Step-by-Step Solutions
If C = {x | x is an even integer less than 10}, what is the set C?
Steps
Concepts
Step 1: Understand what an even integer is. An even integer is any integer that can be divided by 2 without leaving a remainder.
Step 2: Identify the range we are interested in. We need even integers that are less than 10.
Step 3: List the even integers starting from 0 and going up to just below 10. These are: 0, 2, 4, 6, 8.
Step 4: Compile the list of even integers less than 10 into a set. The set C will be {0, 2, 4, 6, 8}.
Set Notation
– Understanding how to define a set using set-builder notation.
Even Integers
– Identifying even integers and their properties.
Inequalities
– Applying the concept of 'less than' to determine the range of integers.
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