Ordered pairs and Relation

     Which of the following order pairs are equal?

• (a, a) and (b, b)

• (2, 3) and (3, 2) 

•  

   $\left(\frac{4}{2},3\right)$  and  (2, 3)

•   (a, b) and (b, a)

What is the value of x and y if (x, y) = (2, x+2)

• 2 & 2

• 2 & 1

• 2 & 4

• 2 & -2

What is the value of x and y if (x-2, y) = (2-x, 4 - y)

• 2 & 4

• 2 & 2

• 0 & 4

• 4 & 0

If A = {2, 4, 5} and B = {1, 2, 4}, which of the following set of ordered pairs represents the relation x > y.

• {(2, 1), (4, 1), (5, 1)}

• {(2, 1), (4, 1), (5, 1), (4, 2)}

• {(2, 1), (4, 1), (5, 1), (4, 2), (5,1)}

• {(2, 1), (4, 1), (5, 1), (4, 2), (5, 4), (5, 2)}

If A = {2, 4, 5} and B = {4, 6, 8}, which of the following set of ordered pairs represents the relation y = x + 2.

• {(2, 4), (4, 6)}

• {(2, 4), (4, 8)}

• {(4, 5), (2, 4), (5, 6), (4, 8)}

• {(2, 4), (4, 4), (5, 8)}

 If A = {4, 16, 25} and B = {2, 4, 5}, which of the following set of ordered pairs represents the relation y = $\sqrt{x}$   
    

•      {(2, 4), (4, 16), (5, 25)}

•  {(2, 2), (4, 4), (5, 5)}  

• {(4, 2), (16, 4), (25, 5)} 

•  {(2, 4), (4, 4), (5, 16)}

If A = {1, 4, 8} and B = {1, 2, -2, 5}, which of the following set of ordered pairs represents the relation x = y².

• {(1, 1), (2, 4), (4, 8)}

• {(1, 1), (4, 2), (4, -2)}

• {(4, 8), (1, 2), (2, 1), (1, 1)}

• {(2, 4), (4, 8)}

Find the domain of the following relation R = {(4, 8), (1, 2), (2, 1), (1, 1), (3, 2), (4, 6)}.

• {1, 2, 3, 4}

• {4, 1, 2, 1, 3, 4}

• {1, 2, 6, 8}

• {1, 2, 3, 4, 6, 8}

Find the range of the following relation R = {(4, 8), (1, 2), (2, 1), (1, 1), (3, 2), (4, 6)}.

• {1, 2, 3, 4}

• {4, 1, 2, 1, 3, 4}

• {1, 2, 6, 8}

• {1, 2, 3, 4, 6, 8}

What type of relation does the following diagram.

• One-to-one relation

• Onto relation

• Inverse relation

• Into relation