E Learning Task 2 A. Complete the Venn diagram. 1. The set of whole numbers from 1 to 15 Set A = all even numbers in this set a 2. The set of whole number from 1 to 20 Set C = all the even numbers Set D = all the multiples of 4 3. The set of whole numbers from 1 to 20 Set E = {2,4,6,7,9,103 Set F = {3, 4, 5, 9, 10, 13, 15, 16, 19, 20} B. Solve the problems, use a Venn diagram to help you. 1. A group of 60 students were asked whether they watch TV Patrol or 24 Oras students watch TV Patrol and 32 watch 24 Oras. on the news). Thirty or both programs (depending eight of these a. How many watch TV Patrol only? b. How many watch 24 Oras only? c. How many watch both news programs? A
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Answer:
1. Set A = {2, 4, 6, 8, 10, 12, 14}
Set B = {1, 3, 5, 7, 9, 11, 13, 15}
(Set B = all odd numbers, this is a correction because the question is incomplete)
a. In the first circle write the numbers from set A
b. In the second circle write the numbers from set B
c. No number in the intersection
2. Set C = {2, 4, 6, 8, 10, 12, 14, 16, 18, 20}
Set D = {4, 8, 12, 16, 20}
a. In the middle circle, write the numbers from set D
b. In the big oval, write the numbers 2, 6, 10, 14, 18.
3. Set E = {2, 4, 6, 7, 9, 10}
Set F = {3, 4, 5, 9, 10, 13, 15, 16, 19, 20}
a. In the middle where the 2 circles intersect, write the numbers 4, 9, 10
b. In the left circle, write the numbers 2, 6, 7
c. In the right circle, write the numbers 3, 5, 13, 15, 16, 19, 20.
B.
Answer:
28 students watch ONLY TV Patrol
22 students watch ONLY 24 Oras
10 students watch Both
Step-by-step Explanation:
Use a 2 circle Venn diagram like the photo attached in this answer
For the part where Elements in A only is written, we will write the number of students that ONLY watch TV patrol.
To solve: let x be the students that only watch TV Patrol
Since 32 students watch 24 Oras, we will subtract 60 by 32
x = 60 - 32
x = 28 Students
For the part where Elements in B only is written, we will write the number of students that ONLY watch 24 Oras.
To solve: let y be the students that only watch 24 Oras.
Since 38 students watch 24 Oras, we will subtract 60 by 38
y = 60 - 38
y = 22 Students
For the part where Elements in A and B only is written, we will write the number of students that watch both programs.
To solve: let z be the students that watch both programs.
z = 60 - 28 - 22
z = 10 Students
a) On the part where Elements in A only is written, write 28
b) On the part where Elements in B only is written, write 22
c) On the part where Elements in A and B only is written, write 10