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In this lesson, we will learn how to find the suitable universal set for two or more given sets.

Q1:

If π is the set of math teachers in a school and π is the set of science teachers in the school, which of the following could be the universal set that contains π and π ?

Q2:

Given π = { 1 0 , 3 , 9 } , π = { 1 0 , 3 } , and a universal set π = { 1 0 , 7 , 9 , 3 , 8 } , find π βͺ π β² β² .

Q3:

Take the universal set to be the set of numbers between, but not including, 1 and 11. Given that π΄ = { 4 , 7 , 9 , 1 0 } β² and π΅ = { 2 , 5 , 9 } β² , what is π΄ βͺ π΅ ?

Q4:

What is the name we give to the set which contains all elements and of which all other sets are subsets?

Q5:

If π = { , , , } β π E g y p t L i b y a S o m a l i a S u d a n , which of these is a suitable universal set?

Q6:

If π = { 2 , 1 , 4 } , π = { 4 , 6 , 5 } , and π = { 4 , 1 , 2 , 5 , 6 } where π is the universal set, what is π β ( π βͺ π ) ?

Q7:

Given π = { 9 , 8 } , π = { 3 , 8 } , and the universal set π = { 6 , 9 , 8 , 3 } , find π βͺ π β² .

Q8:

What is π β π ?

Q9:

Given π = { 3 , 4 , 1 } , π = { 1 0 , 8 , 4 } , and the universal set π = { 8 , 4 , 1 0 , 1 , 3 } , find π βͺ π β² .

Q10:

Given π = { 6 , 2 } , π = { 3 , 1 , 2 , 5 } , and a universal set π = { 1 , 6 , 5 , 7 , 3 , 2 } , find π βͺ π β² β² .

Q11:

Take the universal set to be the set of numbers between (but not including) 1 and 10. Given that π΄ = { 2 , 4 , 6 , 9 } β² and π΅ = { 2 , 3 , 6 } β² , what is π΄ βͺ π΅ β² ?

Q12:

Take the universal set to be the set of even numbers that are less than 16. If π΄ = { 2 , 8 , 1 4 } and π΅ = { 4 , 8 , 1 2 , 1 4 } , what is π΄ βͺ π΅ β² ?

Q13:

Given that π = { 7 , 1 1 , 2 2 } , π = { 1 , 1 1 , 2 1 , 2 2 } , and π and π are subsets of some universal set π , which of the following could be true?

Q14:

Given that π = { 4 , 5 , 2 0 } , π = { 1 4 , 1 7 , 1 9 , 2 0 } , and π and π are subsets of some universal set π , which of the following could be true?

Q15:

Given that π is the universal set, what is π ?

Q16:

Given that π is the universal set, what is β β² ?

Q17:

Given that π΄ is a subset of the universal set π , what is π΄ βͺ π΄ ?

Q18:

If π = { 4 9 , 5 1 , 5 3 , 5 5 , β¦ } , and π = { 4 5 , 4 7 , 4 9 , 5 1 } are subsets of a universal set π , which of the following could describe π ?

Q19:

If π = { 7 1 , 7 3 , 7 5 , 7 7 , β¦ } , and π = { 6 7 , 6 9 , 7 1 , 7 3 } are subsets of a universal set π , which of the following could describe π ?

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