Question

In the questions below suppose A = {a,b,c}. Mark the statement TRUE or FALSE. {∅}⊆ P(A).

Answer 1

Answer:

False

Step-by-step explanation:

Answer 2

Answer:

True

Step-by-step explanation:

Power set -

According to set theory, Power set P(A) is defined as the set of all the subsets of set A including the null set.

The power set is denoted as P(A)

given set,

A = {a, b, c}

All the subsets of A will be - {Φ}, {a}, {b}, {c}, {a, b}, {a, c}, {b, c}, {a, b, c}

The power set will be -

P(A) = { {Φ} {a}, {b}, {c}, {a, b}, {a, c}, {b, c}, {a, b, c} }

So we can see that,

{Φ} ⊆ P(A)

So, the given statement is true.

#SPJ3