Question

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?

A. {–2, 3, 5}

B. {–10, –6, 0}

C. {–6, –2, 0, 3, 5}

D. {0, 3, 5}

Answer 1

the complement of the set T are the elements found in the universal set but not found in set T. Therefore set T¹={-2,3,5}

Answer 2

Option A is correct.

Complement of T = {-2, 3, 5}

Explanation:

As per the given statement:

Universal set U = {-10, -6, -2, 0, 3, 5}

and

T = {-10, -6, 0}

The Complement set denoted by T', is the set of all elements in the given universal set U that are not in T.

Therefore, we have

Complement of T:
`T' =\{-2, 3, 5\}`

Therefore, the complement of T is, {-2, 3, 5}