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Apply joint properties and the operacionescon and validate the processes with the use of Venn diagrams

Exercise. Asked 50 teachers from the ECBTI about sports that practiced, obtained the following results: 20 practice only football, 12 practice soccer and swimming, and 10 do not practice any of these sports. With these data you find out the number of teachers engaged in swimming, the number of them who only practice swimming and those who practice any of these sports.

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· · Hello Monica! The total set of 50 teachers can be divided into four sets disjoint. And we have been given a lot of data 1\) Soccer and swimming = 12 2\) Only football = 20 3\) Only swimming = x 4\) None of the two = 10 As among the 4 must add up to 50 12+20+x+10= 50 x= 50 - (12+20+10) = 50 - 42 = 8 3\) Only swimming = 8 And now we can answer what we throw out: Swimming = (only swimming) + (football and swimming) = 8+12 = 20 Only swimming = 8 One of the two = 50-10 = 40 or 12+20+8=40 . .

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