Q. 54.0( 7 Votes )

# If A = {x <span l

Answer :

Given:

A = {x ϵ N: x ≤ 3}

Here, N denotes the set of natural numbers.

A = {1, 2, 3}

[ It is given that the value of x is less than 3 and natural numbers which are less than 3 are 1 and 2]

and B = {x ϵ W: x < 2}

Here, W denotes the set of whole numbers (non – negative integers).

B = {0, 1}

[ It is given that x < 2 and the whole numbers which are less than 2 are 0 and 1]

So, A × B = {1, 2, 3} × {0, 1}

-

[By the definition of equality of ordered pairs .i.e. the corresponding first elements are equal and the second elements are also equal, but here the pair (1, 0) is not equal to the pair (0, 1)]

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
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 RELATED QUESTIONS :

Let A = {xRS Aggarwal - Mathematics

If A = {3, 4}, B RS Aggarwal - Mathematics

Let A = {2, 3} anRS Aggarwal - Mathematics

If A × B = {(–2, RS Aggarwal - Mathematics

Let A = {–3, –1},RS Aggarwal - Mathematics

If P = {a, b} andRS Aggarwal - Mathematics

If A = {2, 3, 4} RS Aggarwal - Mathematics

Mark the correct RD Sharma - Mathematics

If A = {9, 1} andRS Aggarwal - Mathematics

If A = {x <span lRS Aggarwal - Mathematics