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+2 votes
48.9k views
in Mathematics by (43.7k points)

If R = {(x,y) : x,y ∈ Z, x2 + 3y2 ≤ 8} is a relation on the set of integers Z, then the domain of R–1 is :

(1) {–2, –1, 1,2}

(2) {–1, 0, 1}

(3) {–2,-1,0,1,2}

(4) {0,1}

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1 Answer

0 votes
by (48.5k points)

Answer is (2) {–1, 0, 1}

R = {(x, y) : x, y∈ z, x2 + 3y2 ≤ 8}

For domain of R-1 

Collection of all integral of y's 

For x = 0, 3y2 ≤ 8

⇒ y∈ {–1, 0, 1}

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