Q. 74.0( 68 Votes )

# Let all the students of a class is a Universal set. Let set A be the students who secure 50% or more marks in Maths. Then write the complement of set A.

Answer :

Let U be the universal set.

Then, U = Set of all students of a class

A = Set of students who secure 50% or more marks in Maths

We know that a set A’ is said to be the complement of the set A if it contains all the elements of the universal set U, which are not in the set A.

∴The complement of set A is:

A’ = Set of all students who do not secure 50% or more marks in Maths

Or A’ = Set of all students who secured less than 50% marks in Maths**∴ A ^{'}= U - A**

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Represent the union of two sets by Venn diagram for each of the following.

is a prime number between 80 and 100}

is an odd number between 90 and 100}

MHB - Math Part-IRepresent the union of two sets by Venn diagram for each of the following.

P = {a, b, c, e, f}

_{Q = {I, m, n, e, b}}

U = {1, 2, 3, 7, 8, 9, 10, 11, 12}

P = {1, 3, 7, 10}

then (i) show the sets U, P and P � by Venn diagram. (ii) Verify (P’)’ = P

MHB - Math Part-I