State True or False for the statement:The ordered pair (5, 2) belongs

1.	State True or False for the statement:The ordered pair (5, 2) belongs to the relation R = {(x, y) : y = x – 5, x, y ∈ Z}
Answer» The given statement is false. Explanation: given R = {(x, y) : y = x – 5, x, y ∈Z} This means set R contains numbers such that y = x-5, so So when x = 5, y becomes y = x-5 = 5-5 = 0 So corresponding y will be 0, So (5,2) does not belong to R.

State True or False for the statement:The ordered pair (5, 2) belongs to the relation R = {(x, y) : y = x – 5, x, y ∈ Z}

Answer»

The given statement is false.

Explanation:

given R = {(x, y) : y = x – 5, x, y ∈Z}

This means set R contains numbers such that y = x-5, so

So when x = 5, y becomes

y = x-5 = 5-5 = 0

So corresponding y will be 0,

So (5,2) does not belong to R.