Question

1 point
13.If X = {2, 8, 12, 15, 16) and Y=
{8, 16, 15, 18, 9} then union of X
and Yis
O {2, 8, 12, 15, 16)​

Answer 1

The union of X and Y is {2, 8, 9, 12, 15, 16, 18}

Correct question : If X = {2, 8, 12, 15, 16} and Y= {8, 16, 15, 18, 9} then union of X and Y is

{2, 8, 12, 15, 16}

{ 8, 16, 15}

{8, 16, 15, 18, 9}

{2, 8, 9, 12, 15, 16, 18}

Given :

The sets X = {2, 8, 12, 15, 16} and Y= {8, 16, 15, 18, 9}

To find :

The union of X and Y is

• {2, 8, 12, 15, 16}

• { 8, 16, 15}

• {8, 16, 15, 18, 9}

• {2, 8, 9, 12, 15, 16, 18}

Concept :

For two given sets X and Y the union of two sets is denoted by X ∪ Y and defined as

X ∪ Y = { s : s ∈ X ∨ s ∈ Y }

Solution :

Solution :Step 1 of 2 :

Write down the given sets

Here the given sets are

X = {2, 8, 12, 15, 16} and Y= {8, 16, 15, 18, 9}

Step 2 of 2 :

Find union of X and Y

We know that two given sets X and Y the union of two sets is denoted by X ∪ Y and defined as

X ∪ Y = { s : s ∈ X ∨ s ∈ Y }

Thus we get

X ∪ Y

= { s : s ∈ X ∨ s ∈ Y }

= {2, 8, 9, 12, 15, 16, 18}

Hence the correct option is {2, 8, 9, 12, 15, 16, 18}

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