Answer:
Step-by-step explanation:
Given,
U = { 1 , 2 , 3 , 4 , 5 , 6 , 7 }
A = { 1 , 2 , 4 , 5 }
B = { 1 , 3 , 5 , 7 }
<u>Finding </u><u>A </u><u>union </u><u>B </u><u>(</u><u> </u><u>A </u><u>∪</u><u> </u><u>B </u><u>)</u>
A ∪ B = { 1 , 2 , 4 , 5 } ∪ { 1 , 3 , 5 , 7 }
<u>The </u><u>union </u><u>of </u><u>two </u><u>sets </u><u>A </u><u>and </u><u>B </u><u>is </u><u>the </u><u>set </u><u>of </u><u>all </u><u>elements </u><u>which </u><u>belongs </u><u>either </u><u>A </u><u>or </u><u>B </u><u>or </u><u>both </u><u>A </u><u>and </u><u>B.</u>
<u>Let's </u><u>list </u><u>the </u><u>elements </u><u>:</u>
A ∪ B = { 1 , 2 , 3 , 4 , 5 , 7 }
In the question , we are asked to find out the number of elements present in A ∪ B
Now, count the Elements:
= 6
Thus, There are 6 elements in A ∪ B
Hope I helped !
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