Question

2.Let R be a relation in N,defined as
R={(x,y) €NxN;x+2y=39}. Find the domain and range of R.​

Answer 1

Answer:

domain = {1,3,5,7,...37}

range = {19,18,17,16,...,1}

Step-by-step explanation:

R ={(x,y) ∈ N x N; x + 2y = 39}

When

• x = 1 : y = 19
• x = 3 : y = 18
• x = 5 : y = 17
• x = 7 : y = 16
• x = 9 : y = 15
• x = 11 : y = 14
• x = 13 : y = 13
• x = 15 : y = 12
• x = 17 : y = 11
• x = 19 : y = 10
• x = 21 : y = 9
• x = 23 : y = 8
• x = 25 : y = 7
• x = 27 : y = 6
• x = 29 : y = 5
• x = 31 : y = 4
• x = 33 : y = 3
• x = 35 : y = 2
• x = 37 : y = 1

Therefore R = {(1,19),(3,18),(5,17),(7,16),...} see above

domain = {1,3,5,7,...37}

range = {19,18,17,16,...,1}

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