A relation on the set A = { x : ∣ x ∣

Question

A relation on the set A = { x : ∣ x ∣ < 3 , x ∈ Z } , where Z is the set of integers is defined by R = {( x , y ) : y = ∣ x ∣ , x  = − 1 } . Then the number of elements in the power set of R is:

TestHub · Accepted Answer

​ A = { x : ∣ x ∣ < 3 , x ∈ Z } A = { − 2 , − 1 , 0 , 1 , 2 } R = {( x , y ) : y = ∣ x ∣ , x  = − 1 } R = {( − 2 , 2 ) , ( 0 , 0 ) , ( 1 , 1 ) , ( 2 , 2 )} ​ R has four elements Number of elements in the power set of R = 2 4 = 16

Mathematics - Sets and Relations Question with Solution | TestHub

Options:

Doubts & Discussion