Given A = {1, 2, 3, 4, 5}, S = {(x, y) : x ∈ A, y ∈ A}. Find the o

1.	Given A = {1, 2, 3, 4, 5}, S = {(x, y) : x ∈ A, y ∈ A}. Find the ordered pairs which satisfy the conditions given below:(i) x + y = 5 (ii) x + y < 5 (iii) x + y > 8
Answer» We have, A = {1,2, 3,4, 5}, S= {(x,y) : x ∈ A,y∈ A} (i) The set of ordered pairs satisfying x + y= 5 is {(1,4), (2,3), (3,2), (4,1)} (ii) The set of ordered pairs satisfying x+y < 5 is {(1,1), (1,2), (1,3), (2, 1), (2,2), (3,1)} (iii) The set of ordered pairs satisfying x +y > 8 is {(4, 5), (5,4), (5, 5)}.

Given A = {1, 2, 3, 4, 5}, S = {(x, y) : x ∈ A, y ∈ A}. Find the ordered pairs which satisfy the conditions given below:(i) x + y = 5 (ii) x + y < 5 (iii) x + y > 8

Answer»

We have, A = {1,2, 3,4, 5}, S= {(x,y) : x ∈ A,y∈ A}

(i) The set of ordered pairs satisfying x + y= 5 is {(1,4), (2,3), (3,2), (4,1)}

(ii) The set of ordered pairs satisfying x+y < 5 is {(1,1), (1,2), (1,3), (2, 1), (2,2), (3,1)}

(iii) The set of ordered pairs satisfying x +y > 8 is {(4, 5), (5,4), (5, 5)}.