If A = [1, 2, 3], B = [1, 4, 6, 9] and R is a relation from A to B defined by 'x' is greater than y.

Question:

If A = [1, 2, 3], B = [1, 4, 6, 9] and R is a relation from A to B defined by 'x' is greater than y. The range of R is

(a) {1, 4, 6, 9}

(b) (4, 6, 9)

(c) [1]

(d) none of these.

Solution:

(c) {1}

A = {1, 2, 3} and B = {1, 4, 6, 9}

R is a relation from A to B defined by: x is greater than y.

Then R = {(2,1),(3,1)}

∴ Range (R) = {1}

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