JEE Main 2019 — Sets And Relations Question with Solution
From: JEE Main 2019 (Online) 12th January Evening Slot
Question
Let Z be the set of integers.
If A = {x Z : 2(x + 2) (x2 5x + 6) = 1} and
B = {x Z : 3 < 2x 1 < 9},
then the number of subsets of the set A B, is
If A = {x Z : 2(x + 2) (x2 5x + 6) = 1} and
B = {x Z : 3 < 2x 1 < 9},
then the number of subsets of the set A B, is
Choose an option
Show full solutionCorrect option: D
Correct answer
D215
Step-by-step explanation
A ={x z : 2(x+2)(x2 5x + 6) = 1}
2(x+2)(x2 5x + 6) = 20 x = 2, 2, 3
A = {2, 2, 3}
B = {x Z : < 2x 1 < 9}
B = {0, 1, 2, 3, 4}
A B has is 15 elements so number of subsets of A B is 215.
2(x+2)(x2 5x + 6) = 20 x = 2, 2, 3
A = {2, 2, 3}
B = {x Z : < 2x 1 < 9}
B = {0, 1, 2, 3, 4}
A B has is 15 elements so number of subsets of A B is 215.
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