Question

let
u = {29, 30, 31, 32, 33, 34, 35, 36, 37, 38}
a = {32, 33, 34, 35}
b = {29, 31, 33, 35, 37}
c = {30, 32, 33, 37, 38}
find the set.
a ∪ u =

Explanation:

Step1: Recall union definition

The union of two sets $A$ and $U$, denoted $A \cup U$, is the set of all elements that are in $A$, in $U$, or in both.

Step2: Identify set elements

$U = \{29, 30, 31, 32, 33, 34, 35, 36, 37, 38\}$, and all elements of $A$ are already in $U$.

Step3: Compute the union

Since every element of $A$ is contained in $U$, the union of $A$ and $U$ is equal to $U$.

Answer:

$\{29, 30, 31, 32, 33, 34, 35, 36, 37, 38\}$