QuestionFind the set $A \cup B$ given $A=\{3,4,6,10\}$ and $B=\{1,3,8\}$ within $U=\{1,2,3,4,5,6,7,8,9,10\}$ .

Studdy Solution

STEP 1

Assumptions1. The universal set U is $\{1,,3,4,5,6,7,8,9,10\}$ . Set A is $\{3,4,6,10\}$
3. Set B is $\{1,3,8\}$
4. The union of two sets A and B, denoted by $A \cup B$ , is the set of elements which are in A, or in B, or in both.

STEP 2

To find the union of sets A and B, we combine all the elements of both sets. If an element is present in both sets, we only list it once.
$A \cup B = \{elements\, in\, A\, or\, B\, or\, both\}$

STEP 3

Now, plug in the given values for sets A and B to find the union.
$A \cup B = \{3,,6,10\} \cup \{1,3,8\}$

STEP 4

Combine all the elements of both sets. If an element is present in both sets, we only list it once.
$A \cup B = \{1,3,4,6,8,10\}$ The union of sets A and B is $\{1,3,4,6,8,10\}$ .

Was this helpful?

Get Studdy

Scan QR code with your device to get Studdy on iOS or Android

QR code

Studdy solves anything!

Download the app

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Parents Influencer program Contact Policy Terms