suppose U = {-10, -6, -2, 0, 3, 5} is the universal set and T is the set {-10, -6, 0}. what is the complement of set T?

What elements do you see in U which are NOT in T ?

The complement set is {-2,3,5}

To find the complement of a set, we need to determine all the elements that are in the universal set but not in the given set.

In this case, the universal set U is {-10, -6, -2, 0, 3, 5} and the given set T is {-10, -6, 0}.

To find the complement of set T, we need to find all the elements in U that are not in T.

1. Start by listing all the elements in the universal set U: {-10, -6, -2, 0, 3, 5}.
2. Compare each element in U with the elements in set T.
3. Identify the elements that are not present in set T.
4. The remaining elements are the complement of set T.

The complement of set T is {-2, 3, 5}.

To find the complement of a set, you need to figure out what elements are not included in that set from the universal set.

In this case, the universal set U is {-10, -6, -2, 0, 3, 5} and the set T is {-10, -6, 0}. To find the complement of T, you need to determine which elements of U are not present in T.

To do this, compare each element of U to the elements in T. Any element in U that is not in T will be part of the complement of T.

Let's go through the process step by step:

1. Start with the universal set U = {-10, -6, -2, 0, 3, 5}.
2. Look at each element in U and check if it is present in T.
- Element -10 is present in T.
- Element -6 is present in T.
- Element -2 is not present in T.
- Element 0 is present in T.
- Element 3 is not present in T.
- Element 5 is not present in T.
3. The elements -2, 3, and 5 are not present in T.
4. Therefore, the complement of T is {-2, 3, 5}.

So, the complement of the set T in the universal set U is {-2, 3, 5}.