Sets Relations And Functions Question 73
Question: If. A={x| $ x^{2} $ -5x+6=0},B={0,3,4}, C= {x $ \in $ N and x $ \le $ 3} then $ (A-B)\times (C-B) $ is
Options:
A) {(2, 1), (2, 4)}
B) {(2, 1), (2, 2)}
C) {(2, 1), (2, 2), (3, 2)}
D) {(2, 2), (3, 2)}
Show Answer
Answer:
Correct Answer: B
Solution:
- [b] $ x^{2}-5x+6=0 $
$ \Rightarrow $ $ (x-3)(x-2)=0 $
$ \Rightarrow $
$ x=2,3 $ So
A = {2, 3}
B = {0, 3, 4}
C = {1, 2, 3}
A-B = {2}
C-B = {1, 2}
$ (A-B)\times (C-B)={(2,1),(2,2)} $
BETA
