Question

Express the relation in roster form R={(x,y): y+2x=5, x,y ∈ W}.

a. R = {(0, 5), (1, 3), (2, 1), ...}
b. R = {(1, 4), (2, 3), (3, 2), ...}
c. R = {(3, 1), (4, 0), (5, -1), ...}
d. R = {(0, 6), (2, 4), (4, 2), ...}

Answer 1

The relation R={(x,y): y+2x=5, x,y ∈ W} can be expressed in roster form as R = {(0, 5), (1, 3), (2, 1), ...}

Step-by-step explanation:

The relation R={(x,y): y+2x=5, x,y ∈ W} can be expressed in roster form as R = {(0, 5), (1, 3), (2, 1), ...}

To find the relation in roster form, we need to plug in different values of x into the equation y+2x=5 and solve for y. The resulting pairs (x, y) form the relation R.

For example, when x=0, y=5; when x=1, y=3; when x=2, y=1; and so on.