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1. You have two boxes of colored pens. The first box contains a red pen, a blue pen, and a green pen. The second box contains a yellow pen, a red pen, and a black pen. What is the set that represents all the pens? (1 point)
A) {red pen, blue pen, green pen}
B) {red pen}
C) {red pen, red pen, green pen, yellow pen, black pen}
D) {red pen, blue pen, green pen, yellow pen, black pen}

2. The bulk food section of a grocery store has two bins with different types of mixed nuts. The first bin contains walnuts, peanuts, and pistachios. The second bin contains pecans, almonds, Brazil nuts, and walnuts. Which set represents all types of nuts in both bins?
A) {walnuts, peanuts, pistachios, pecans, almonds}
B) {walnuts, peanuts, pistachios, pecans, almonds, Brazil nuts}
C) {walnuts}
D) {peanuts, pistachios}

3. Let X= {x | x is a whole number less than 15, Y= {x | x is a multiple of 3, Z= {x | x is a real number greater than or equal to 5.5}. What is X ∩ Y?
A) {0, 3, 6, 9, 12}
B) {3, 6, 9, 12, 15}
C) {..., -6, -3, 0, 3, 6, 9, ...}
D) {..., -6, -3, 0, 3, 6, 9, 12}

I'll give the brainliest answer for whoever is right.

Respuesta :

1) ~ The first set would be {red pen, blue pen, green pen}
Second set > {yellow pen, red pen, black pen}
All we do is combine the sets and remove any duplicates.
{red pen, blue pen, green pen, yellow pen, black pen}

2) Considering I explained the first one > same concept here.
{walnuts, peanuts, pistachios, pecans, almonds, Brazil nuts}

3) 0 and - is not a multiple of 3 so the answer has to be a multiple of three.
Which means > {3, 6, 9, 12, 15}

Answer: By the definition of set "A set is a well defined collection of distinct elements".i.e. no elements repeated.

We get the following answers

1) D) set that represents all the pens={red pen, blue pen, green pen, yellow pen, black pen}

2) B)set represents all types of nuts in both bins={walnuts, peanuts, pistachios, pecans, almonds, Brazil nuts}

3) Let X= {x | x is a whole number less than 15={0,1,2,3,4,.......,14}

Y= {x | x is a multiple of 3}={0,3,6,9,12,15,...}

Then

X ∩ Y={0, 3, 6, 9, 12}

Therefore A is the right answer.