Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 10th

# A Relation R is given by the set {x,yy=x+3,x∈{0,1,2,3,4,5}}. Determine its domain and range - Mathematics

Sum

A Relation R is given by the set {(x, y)/y = x + 3, x ∈ {0, 1, 2, 3, 4, 5}}. Determine its domain and range

#### Solution

x = {0, 1, 2, 3, 4, 5}

y = x + 3

when x = 0 ⇒ y = 0 + 3 = 3

when x = 1 ⇒ y = 1 + 3 = 4

when x = 2 ⇒ y = 2 + 3 = 5

when x = 3 ⇒ y = 3 + 3 = 6

when x = 4 ⇒ y = 4 + 3 = 7

when x = 5 ⇒ y = 5 + 3 = 8

R = {(0, 3) (1, 4) (2, 5) (3, 6) (4, 7) (5, 8)}

Domain = {0, 1, 2, 3, 4, 5}

Range = {3, 4, 5, 6, 7, 8}

Concept: Relations
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