The Cartesian product of two sets P and Q, i.e., P × Q =φ, if

Question

The Cartesian product of two sets P and Q, i.e., P × Q =φ, if (A) either P or Q is the null set (B) neither P nor Q is the null set (C) Both (a) and (b) (D) None of the above

Tardigrade Admin · Accepted Answer

If either P or Q is the null set, then P × Q will be an empty set, i.e. P × Q =φ

Q. The Cartesian product of two sets $P$ and $Q$ , i.e., $P \times Q = ϕ$ , if

either $P$ or $Q$ is the null set

neither $P$ nor $Q$ is the null set

Both (a) and (b)

None of the above

If either $P$ or $Q$ is the null set, then $P \times Q$ will be an empty set, i.e. $P \times Q = ϕ$

Q. The Cartesian product of two sets P and Q, i.e., P×Q=ϕ, if

either P or Q is the null set

neither P nor Q is the null set