Answer to Question #260539 in Discrete Mathematics for Lawrence

Question

1. ∅ ⊆ A (true or false) 2.n(∅) = 0 (true or false)

Answer 1

1. Since the empty set $\emptyset$ contains no element, the statement $a\in\emptyset$ is false, and hence the implication $(x\in\emptyset)\to(x\in A)$ is true, and hence it is true that $\emptyset\subseteq A.$

2. Since the empty set $\emptyset$ contains no element, its cardinality is equal to zero. Therefore, statement $n(∅) = 0$ is true.