Two sets that are equivalent are always equal

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Mathematics For Liberal Arts

Question 1

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Two sets that are equivalent are always equal

True

False

Question 2 

Select all of the answers below that are equal to G = {Canada, France, Germany, Great Britain, Italy, Japan, United States}

{Germany, Italy, France, Great Britain, United States, Japan, Canada}

{United States, Great Britain, France, Germany}

{United States, Great Britain, France, Germany, Canada, Japan, Italy}

{rug, food, milk, radio, bottle cap, eraser, bread}

{twister, computer, rusty nail, socks, bananas, sketch pad, flowers}

{Germany, Canada, Italy, Japan, France}

Question 3 

Which of the following is equivalent to S = {spring, summer, autumn, winter}? (you may select more than one)

{x | x = sides of a standard dice}

{x | x = planets in our solar system}

{x | x ≥ 1 and x < 5}

{x | x = former Presidents of the United States}

{x | x is a season}

{x | x = states in the United States}

Question 4 

Which of the following are equal to {Athletics, Tigers, Braves, Blue Jays}? (you may select more than one)

{Tigers, Phillies, Yankees, Astros}

{Dodgers, Padres, Braves, Blue Jays}

{Braves, Blue Jays, Athletics, Tigers}

{Athletics, Braves, Blue Jays}

{Twins, Tigers, Braves, Phillies}

Question 5  

The empty set is the set that contains no elements.

True

False

 

Question 1

How many distinct proper subsets are there of the set N = {7, 48, 68}?

Question 2

Determine whether ⊂, ⊆, both, or neither can be placed in the blank to make the following true.

{prosciutto, olives, kumquats, liver, mushrooms, quail} ___ {mushrooms, kumquats, liver, olives, prosciutto, quail}

⊆

both

⊂

neither

Question 3 (1 point)

Determine whether ⊂, ⊆, both, or neither can be placed in the blank to make the following true

{pumpkin seeds, pinto beans} ___ {cranberries, zest, pinto beans, chambord, pumpkin seeds}

⊆

⊂

both

neither

Question 4

How many subsets are there of the set N = {1, 41, 68, 11, 34}?

Question 5

How many distinct proper subsets are there of the set N = {2, 45, 61, 14, 36, 54, 23}?

Question 6

How many subsets are there of the set N = {9, 46}?

Question 7

How many distinct proper subsets are there of the set N = {10, 48, 69, 18, 33, 55}?

Question 8

Determine whether ⊂, ⊆, both, or neither can be placed in the blank to make the following true.

{prosciutto, olives, kumquats, liver, mushrooms, quail} ___ {mushrooms, kumquats, liver, prosciutto, quail}

⊂

neither

⊆

both