Question

Write the domain and range of the following relations.
i) {(a, b) / a ∈ N, a < 6 and b=4}
ii) {(a, b) / a, b ∈ N, a+b = 12}
iii) {(2, 4), (2, 5), (2, 6), (2, 7)}

Answer 1

Answer:

i) Domain is  { 1, 2, 3, 4, 5)

Range is {4}

ii) Domain is  { 1, 2, 3, 4, 5)

Range is {4}

iii) Domain is {2}

Range is {4, 5, 6, 7}

Step-by-step explanation:

Hi,

In a  relation which consists of {(a, b)},

Domain of relation is the set of all values a takes

Range of relation is the set of all values b takes

i) {(a, b) / a ∈ N, a < 6 and b=4}

In Roaster form,

{ (1, 4), (2, 4), (3, 4), (4, 4), (5, 4)}

Domain is  { 1, 2, 3, 4, 5)

Range is {4}

ii){(a, b) / a, b ∈ N, a+b = 12}

In Roaster form

{ (1, 11), (2, 10), (3, 9), (4, 8), (5, 7), (6, 6), (7, 5), (8, 4),

    (9, 3), (10, 2), (11, 1)}

Domain = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11}

Range = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11}

iii){(2, 4), (2, 5), (2, 6), (2, 7)}

Domain is {2}

Range is {4, 5, 6, 7}

Hope, it helps !