Solution:

Here,

R = {(2, 4), (3, 6), (4, 8), (5, 10)}

∴ R^{−1} = {(4, 2), (6, 3), (8, 4), (10, 5)}

Solution:

Here,

R = {(a, w), (b, x), (c, y), (d, z)}

∴ R^{−1} = {(w, a), (x, b), (y, c), (z, d)}

Solution:

Here,

R = {(1, 3), (5, 7), (9, 11), (13, 15)}

∴ R^{−1} = {(3, 1), (7, 5), (11, 9), (15, 13)}

Solution:

Here,

R = {(p, a), (q, b), (r, c), (s, d)}

∴ R^{−1}= {(a, p), (b, q), (c, r), (d, s)}

Solution:

Here,

R = {(1, 2), (1, 4), (2, 2), (2, 4), (3, 4)}

Domain of R = a set of x-components of each ordered pair of the relation R.

= {1, 1, 2, 2, 3}

= {1, 2, ,3}

Range of R = a set of y-components of each ordered piar of the relation R.

= {2, 4, 2, 4, 4}

= {2, 4}

Solution:

Here,

Domain of R = set of x-component

= {2, 2, 2, 3, 3}

= {2, 3}

Range of R = set of y-component

= {a, b, c, a, b}

= {a, b, c}

Solution:

Here,

Domain of R = set of x-component

= {−1, 2,−3, 4}

range of R = set of y-component

= {2,−4, 6,−8}

Solution:

Here,

Domain of R = {(a, b, c, a, b}

= {a, b, c}

Range of R = {p, q, r, q, r}

= {p. q. r}

Solution:

R_{1} = {(a, p), (b, q), (c, r)}

Solution:

R_{2} = {(2, 4), (3, 5), (4, 6)}

Solution:

R_{3} = {(a, x), (a, y), (c, x), (c, z)}

Solution:

R_{4} = {(2, 7), (2, 8), (4, 7), (5, 7), (5, 9)}