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 would be c but I am not sure . Thank you to anyone who helps :) .
I have actually changed my answer to b. Sorry about that :/
R looks like odds, so R' is evens
don't forget zero
Thank you! I really appreciate it :).
To find the complement of a set, we need to identify all the elements that are not in the set but are present in the universal set.
In this case, the universal set U contains all integers, and the set R contains only the odd integers. So, to find R', we need to identify all the even integers that are not in R.
The even integers can be represented as {...-4, -2, 0, 2, 4...}. From this set, we can see that the elements -4 and 4 are not in R. Therefore, R' contains {...-4, -2, 2, 4...}.
So, the correct answer is option C: {...-4, -2, 2, 4...}.