Question

If the relation R on set A = {1, 2, 3 . . . . . . 13, 14} is defined as R = {(x, y):3x - y = 0}, find the range of R

• A. Range = {1, 2, 3, 4}
• B. Range = {4, 5, 6, 7}
• C. Range = {3, 6, 9, 12}
• D. Range = {2, 4, 6, 8}

Answer 1

The correct option is C

Range = {3, 6, 9, 12}

A = {1, 2, 3 . . . . . . 13, 14}

R = {(x, y): 3x - y = 0}

R = {(1, 3), (2, 6), (3, 9), (4, 12)}

Domain = {1, 2, 3, 4} set of first component of all the ordered pair which belong to R

Range = {3, 6, 9, 12} set of second components of all the ordered pairs which belong to R.