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snow_tiger [21]
3 years ago
8

Explain the following in set builder form?

Mathematics
1 answer:
lions [1.4K]3 years ago
7 0

Step-by-step explanation:

(i) Given that { 1,4,9,16,...,100}

It can be written as { 1²,2²,3²,4²,5²,...10²}

Set builder form :-

⇛ A = {x:x = n², n≤10,n€N}

(ii) {a,e,i,o,u}

These are vowels in the English alphabet

Set builder form:-

⇛ B = {x:x is a vowel in English alphabet }

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Of the eighth graders at the Paxton​ School, 99 played​basketball, 9 played​ volleyball, 10 played​ soccer, 1 played basketball
otez555 [7]
<h2>Answer:</h2>

<em><u>(a). 110</u></em>

<em><u>(b). 95 </u></em>

<em><u>(c). 2</u></em>

<h2>Step-by-step explanation:</h2>

In the question,

Number of students who played Basketball = 99

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Number of students who played Soccer = 10

Number of students who played Basketball and Soccer only = 1

Number of students who played Volleyball and Soccer only = 2

Number of students who played Basketball and Volleyball only = 1

Number of students who played Basketball, Volleyball and Soccer only = 2

So,

We can see from the <u>Venn diagram</u> shown below,

Number of students who played only Basketball = 99 - (1 + 2 + 1) = 95

Number of students who played only Volleyball = 9 - (1 + 2 + 2) = 4

Number of students who played only Soccer = 10 - (1 + 2 + 2) = 5

(a).

Number of students who played atleast one of three sports = Sum of all the sections in the Venn Diagram

= (95 + 1 + 2 + 1) + (4 + 2) + 5 = 110

(b).

Students who played Basketball only = 95

(c).

Number of students who play Volleyball and Soccer but not Basketball = 2

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Answer:

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