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Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

High School Mathematics
8.8 Problems on Relations

Example:
If A = {1,3,5}, B = {2,4} and C = {1,2,3,4}, then find A (B C).
Solution:
Given that, A = {1,3,5}, B = {2,4} and C = {1,2,3,4}
To find A (B C) first we want to find the value of B C
B C = {2,4} {1,2,3,4}
= {1,2,3,4}
A (B C) = {1,3,5} {1,2,3,4}
= {(1,1),(1,2),(1,3),(1,4),(3,1),(3,2),(3,3),(3,4),(5,1),(5,2),(5,3),(5,4)}
Directions: Solve the following problems. Also write at least 5 examples of your own.
Q 1: If A = {1,2,3,4}, B = {1,3,5} and C = {5,6}, then find the value of (A B) (A C)
{(1,5),(2,5),(3,5),(4,5),(5,5)}
{(2,5),(3,5),(4,5),(5,5)}
{(1,5),(2,5),(3,5)}
{(1,5),(2,5),(3,5),(4,5)}

Q 2: If A = {1,3,5,7}, B = {2,4}a nd C = {1,2,3}, then verify
A (B C) = (A B) (A C)
Correct
Not correct

Q 3: If A = {1,3,5}, B = {2,4} and C = {1,2,3}, then find the value of (A B) (A C).
{(1,1),(1,2),(1,3),(3,1),(3,2),(3,3),(3,4),(5,1),(5,2),(5,3),(5,4)}
{(1,1),(1,2),(1,3),(1,4),(3,1),(3,2),(3,3),(3,4),(5,2),(5,3),(5,4)}
{(1,1),(1,2),(1,3),(1,4),(3,1),(3,2),(3,3),(3,4),(5,1),(5,2),(5,4)}
{(1,1),(1,2),(1,3),(1,4),(3,1),(3,2),(3,3),(3,4),(5,1),(5,2),(5,3),(5,4)}

Q 4: If A = {1,3,5,7}, B = {2,4}a nd C = {1,2,3}, then verify
A (B C) = (A B) (A C)
Correct
Not correct

Q 5: If A = {1,2,3}, B = {3,4,5} and C = {4,6}, then find the value of A (B C).
None of these
{(1,4),(2,4),(3,4),(4,4)}
{(2,4),(3,4),(4,4)}
{(1,4),(2,4),(3,4)}

Q 6: If A = {1,3,5}, B = {2,4} and C = {1,2,3} then find the value of A (B C).
{(1,2),(3,2),(5,3)}
{(1,2),(3,2),(5,2),(2,5)}
{(1,2),(3,2),(5,2),(5,3)}
{(1,2),(3,2),(5,2)}

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Question 8: This question is available to subscribers only!


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