Suppose U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} is the universal set, and P = {1, 4, 9, }. What is p'?

{2,3,5,6,7,8}
{2,4,6,8}
{1,2,3,4,5,6,7,8,9,10}
{2,3,4,5,6,7,8,10}

suppose T={-8,-4,0,4,8,12,16,20} and K={-3,-2,-1,0,1,2,3,4,5,6}. What is T n K?

{-3,-2,-1,1,2,3,4,5,6}
{-8,-4,-3,-2,-1,0,1,2,3,4,5,6,8,12,16,20}
{-8,-4,8,12,16,20}
{0,4}****

Please help.

Thank you

I see the elements 1,4, and 9 in P

Which elements do you NOT see ?

in your 2nd question, is that T and K, that is,
the intersection of T and K ?
if so, which elements can you find that are in both T and K ?
If so, then you are correct.

For the first one I put D

To find the complement of a set, P', we need to list all the elements that are in the universal set, U, but not in the given set, P. Here, U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and P = {1, 4, 9}.

To find P', we need to list all the elements that are in U but not in P. Here's how you can do it:
1. Start by listing all the elements in U: {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.
2. Now, cross out the elements that are also in P: {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.
3. The remaining elements are the ones that are in U but not in P: {2, 3, 5, 6, 7, 8, 10}.

Therefore, P' = {2, 3, 5, 6, 7, 8, 10}.
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To find the intersection of two sets, T and K, denoted as T ∩ K (read as "T intersect K"), you need to list the elements that are common to both sets. Here, T = {-8, -4, 0, 4, 8, 12, 16, 20} and K = {-3, -2, -1, 0, 1, 2, 3, 4, 5, 6}.

Here's how you can find the intersection, T ∩ K:
1. Start by listing all the elements in T: {-8, -4, 0, 4, 8, 12, 16, 20}.
2. Look for elements in T that are also present in K: {-8, -4, 0, 4}.
3. These elements are the ones that are common to both T and K.

Therefore, T ∩ K = {-8, -4, 0, 4}.

To find the complement of a set, denoted as A', we need to take the universal set U and remove all the elements that are present in set A.

In the first problem, U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and P = {1, 4, 9}. To find P', we need to remove all the elements in P from U.

P' = {2, 3, 5, 6, 7, 8, 10}

Therefore, the correct answer is {2, 3, 5, 6, 7, 8, 10}.

In the second problem, T = {-8, -4, 0, 4, 8, 12, 16, 20} and K = {-3, -2, -1, 0, 1, 2, 3, 4, 5, 6}. To find T ∩ K (the intersection of T and K), we need to find the elements that are common to both sets.

T ∩ K = {-3, -2, -1, 0, 1, 2, 3, 4, 5, 6}

Therefore, the correct answer is {-3, -2, -1, 0, 1, 2, 3, 4, 5, 6}.

If you have any further questions, feel free to ask!