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In this lesson, we will learn how to identify equal sets and how to use their equality to find the value of unknown elements.

Q1:

Given that { 0 , 4 , π } = { 4 , 1 2 , π } = { 0 , 1 2 , π } , find π , π , and π .

Q2:

If { 4 π } β { 4 4 } , what are the possible values of π ?

Q3:

If { 6 3 , π } = { π , 6 3 } , what are the possible values of π and π ?

Q4:

Use = or β to fill in the blanks: If π = { 0 , 3 } , π is the set of digits of 30, and π = { 3 0 } , then π π and π π .

Q5:

Use = or β to fill in the blank:

Q6:

Are these two sets equivalent?

Q7:

Find the value of π₯ if { 4 π₯ } = { 2 8 } .

Q8:

Use = or β to fill in the blank: { 1 , 2 , 1 9 , 3 8 } the set of factors of the number 38.

Q9:

Given that { π , 3 , 4 } = { π , 9 , 4 } , find π and π .

Q10:

Given that { 9 , π , 8 } = { 3 , π , 8 } , find π and π .

Q11:

Two equal sets are equivalent. Are two equivalent sets equal?

Q12:

Use = or β to fill in the blank: { 2 8 } the set of even numbers smaller than 28.

Q13:

If { 3 , 5 , 1 } = { 1 , 3 , π₯ } , what is the value of π₯ ?

Q14:

If { π₯ , 9 , 1 } = { 1 , 3 , 9 } , what is the value of π₯ ?

Q15:

Given that { π , 8 } = { π , 1 } , find π and π .

Q16:

If two sets have the exact same elements, they are said to be .

Q17:

Given that π΄ = { 5 , 7 , 8 } and πΆ = { π₯ βΆ π₯ is a digit in the number 5 7 7 8 5 } , find the relation between π΄ and πΆ .

Q18:

Use = or β to fill in the blank: If π₯ = 0 , then { π₯ , 2 , 1 6 } { 2 , 1 6 , 1 } .

Q19:

Use = or β to fill in the blank: { 5 , 9 , 3 } the set of digits of the number 59β093.

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