Suppose U={...-3,-2,-1,0,1,2,3...} is the universal set and R={...-3,-1,1,3...}. What is R?
A. {-2,0,2}
B. {...-4,-2,0,2,4...}
C. {...-4,-2,2,4...}
D. {-4,-2,2,4}
I think it is C. Thank you!
You must mean R', which is clearly all the even numbers. So, not C. Look closely.
To determine the set R, we first need to understand what the given set R represents. The dots indicate that the set R contains a pattern.
In this case, R={...-3,-1,1,3...} represents the set of all odd integers.
Now, let's examine the options:
A. {-2,0,2}: This set consists of even integers, so it is not the correct answer.
B. {...-4,-2,0,2,4...}: This set includes both even and odd integers, so it is not the correct answer.
C. {...-4,-2,2,4...}: This set only includes even integers and does not include the odd integers found in the set R. Thus, it is not the correct answer.
D. {-4,-2,2,4}: This set only includes even integers and does not include the odd integers found in the set R. Thus, it is not the correct answer.
Therefore, the correct answer is option A. {-2,0,2}, as it represents the set of even integers.