Q. 4 H5.0( 4 Votes )

List all the elem

Answer :

Given x Z and |x| ≤ 2

Z is a set of integers


Integers are …-3, -2 , -1, 0, 1, 2, 3, …


Now, if we take x = -3 then we have to check that it satisfies the given condition |x| ≤ 2


|-3| = 3 > 2


So, -3 H


If x = -2 then |-2| = 2 [satisfying |x| ≤ 2]


So, -2 H


If x = -1 then |-1| = 1 [satisfying |x| ≤ 2]


-1 H


If x = 0 then |0| = 0 [satisfying |x| ≤ 2]


0 H


If x = 1 then |1| = 1 [satisfying |x| ≤ 2]


1 H


If x = 2 then |2| = 2 [satisfying |x| ≤ 2]


So, 2 H


If x = 3 then |3| = 3 > 2 [satisfying |x| ≤ 2]


So, 3 H


So, H = {-2, -1, 0, 1, 2}


So, E = {0, 1}


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