Advertisement Remove all ads

Advertisement Remove all ads

Advertisement Remove all ads

MCQ

True or False

State whether of the statement is true or false. If the statement is false, re-write the given statement correctly:

(iii) If A = {1, 2}, B = {3, 4}, then A × (B ∩ ϕ) = ϕ.

#### Options

True

False

Advertisement Remove all ads

#### Solution

True

A = {1, 2} and B = {3, 4}

Now,

(B ∩ ϕ) = ϕ

The Cartesian product of any set and an empty set is an empty set.

∴ A × (B ∩ ϕ) = ϕ

Concept: Cartesian Product of Sets

Is there an error in this question or solution?

Advertisement Remove all ads

#### APPEARS IN

Advertisement Remove all ads