Question

A relation on the set A = {x : |x| < 3, x $\in$ Z }, where Z is the set of integers is defined by R = {(x, y) : y = |x|, x $\neq$ - 1}. Then the number of elements in the power set of R is:

• A. 32
• B. 16
• C. 8
• D. 64

Answer 1

Answer: (B)

16

Answer 2

A = {x : |x| < 3, x $\in$ Z } A = {-2, - 1, 0, 1, 2} R = {(x, y) : y = |x|, x $\neq$ -1} R = {(-2, 2), (0, 0), (1, 1), (2, 2)} R has four elements Number of elements in the power set of $R = 2^4 = 16$