Q. 4 H5.0( 4 Votes )

# List all the elements of each of the sets given below.H = {x : x ϵ Z, |x| ≤ 2}.

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}

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos  Interactive Quiz on Sets33 mins  Sets and Wavy Curve Methods - 0465 mins  Interactive Quiz :Sets and Wavy Curve Methods - 0663 mins  Sets and Wavy Curve Methods - 0149 mins  Sets and Wavy Curve Methods - 0754 mins  Sets and Wavy Curve Methods - 0354 mins  Sets and Wavy Curve Methods - 0565 mins  Sets and Wavy Curve Methods - 0958 mins  Sets and Wavy Curve Methods - 0850 mins  Sets and Wavy Curve Methods - 0256 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation view all courses 