Let A $$=$$ R x R, R the real number system and $$R={((x$$,$$y)$$,(a$$,$$b))∈A×A∣ either x $$b}$$ Then, which one of the following is true, if (x$$, $$y) (a$$,$$b))∈R and $$((a$$,$$b)$$∈R and $$((a$$,$$b)$$,(p$$,$$q))∈R ?

Correct option is 1((x,y),(p,q))∈R

Questions

Let A = R x R, R the real number system and $R = {((x, y), (a, b)) \in A \times A ∣$ either x< a or x = a and y > b} Then, which one of the following is true, if (x, y) $(a, b)) \in R$ and $((a, b) \in R$ and $((a, b), (p, q)) \in R$ ?

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((x,y),(p,q))∈R

((x,y),(q,p))∈R

((x,y),(y,q))∈R

((y,x),(p,q))∈R

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detailed solution

Correct option is A

Suppose that (((x,y),(a,b)),((a,b),(p,q))∈Rthen either xb and either aqIfxb, a= p and b>g then x = p and y>b>qTherefore,((x,y),(p,q))∈R

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Let A = R x R, R the real number system and R={((x,y),(a,b))∈A×A∣ either x< a or x = a and y > b} Then, which one of the following is true, if (x, y) (a,b))∈R and ((a,b)∈R and ((a,b),(p,q))∈R ?

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Ready to Test Your Skills?

free study material

Let A = R x R, R the real number system and $R = {((x, y), (a, b)) \in A \times A ∣$ either x< a or x = a and y > b} Then, which one of the following is true, if (x, y) $(a, b)) \in R$ and $((a, b) \in R$ and $((a, b), (p, q)) \in R$ ?