Set Theory. Power Set Cardinality

Question

For any set $A$, prove that the cardinality of $A$ is no larger than the cardinality of $\mathcal{P}(A)$.

Please help! Thanks!

For future reference, it's considered bad etiquette on Math.SE to post a homework question without detailing what you have tried to solve the question on your own. — parsiad, Nov 27 '17 at 00:40

score 0 · Accepted Answer · answered Nov 27 '17 at 00:39

0

Hint: For each $a$ in $A$, the powerset $\mathcal{P}(A)$ contains the element $\{ a \}$.

answered Nov 27 '17 at 00:39

parsiad

1 Answers1