Consider the set of integers greater than -2 and less than 6. A subset of this set is the positive factors of 5. What is the complement of this subset?
a. {0,2,3,4}
b. {-1,0,2,3,4}
c. {-2,-1,0,2,3,4,6}
d. {-2,-1,0,1,2,3,4,5,6}
I think it's d, even though it's not supposed to include -2 and 6?
owemji you post this when I doesn't born
i do not understand
Set C of integers not exceeding 9 but greaterbthan 6
To find the complement of a subset, we need to consider all the elements that are not included in the subset.
First, let's find the positive factors of 5. The positive factors of 5 are 1 and 5, because these are the numbers that divide 5 without leaving a remainder.
Now, let's consider the given set, which includes integers greater than -2 and less than 6. So the set is {-1, 0, 1, 2, 3, 4, 5}.
The subset we want to find the complement of is the positive factors of 5, which are {1, 5}.
The complement of a set includes all the elements that are not in the set. So, the complement of {1, 5} would be {-1, 0, 2, 3, 4}. However, we need to make sure that the elements also satisfy the condition of being greater than -2 and less than 6.
Now, let's compare this complement set with the given options:
a. {0, 2, 3, 4} - This set does not include -1, so it is not the correct complement.
b. {-1, 0, 2, 3, 4} - This set includes -1 and satisfies the conditions. It is a potential answer.
c. {-2, -1, 0, 2, 3, 4, 6} - This set includes -2 and 6, which are not within the given range, so it is not the correct complement.
d. {-2, -1, 0, 1, 2, 3, 4, 5, 6} - This set includes -2 and 6, which are not within the given range, so it is not the correct complement.
Based on the options provided, the best choice for the complement of the subset would be option b, {-1, 0, 2, 3, 4}.
still confused
set of integers less than 2 but greater than 5
the given set is {-1,0,1,2,3,4,5}
(notice the -2 and 6 are excluded)
the subset which contain positive factors of 5 is {1,5}
so the complement set would be
{-1,0,2,3,4) which matches with b)