JEE PYQ: Sets And Relations Question 13
Question 13 - 2020 (09 Jan Shift 2)
If $A = {x \in R : |x| < 2}$ and $B = {x \in R : |x - 2| \geq 3}$; then:
(1) $A \cap B = (-2, -1)$
(2) $B - A = R - (-2, 5)$
(3) $A \cup B = R - (2, 5)$
(4) $A - B = [-1, 2)$
Show Answer
Answer: (2)
Solution
$A = {x : x \in (-2, 2)}$
$B = {x : x \in (-\infty, -1] \cup [5, \infty)}$
$A \cap B = {x : x \in (-2, -1]}$
$A \cup B = {x : x \in (-\infty, 2) \cup [5, \infty)}$
$A - B = {x : x \in (-1, 2)}$
$B - A = {x : x \in (-\infty, -2] \cup [5, \infty)}$
BETA
