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 $\ne$ - 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)

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