1. Tardigrade
  2. Question
  3. Mathematics
  4. If Y is the smallest set such that Y ∪ 1, 2 = 1, 2, 3, 5, 9 then Y is equal to

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. If $Y$ is the smallest set such that
$Y \cup \{1, 2\} = \{1, 2, 3, 5, 9\}$, then $Y$ is equal to

Sets

Solution:

Since $Y \cup \{1, 2\} = \{1, 2, 3, 5, 9\}$, then the set $Y$ must contain $3$, $5$, $9$. Since the set $Y$ is smallest, we have $Y = \{3, 5, 9\}$.