Use the set of ordered pairs below to answer each question.

{ (4, 20), (8, 4), (2, 3), (15, 3), (6, 15), (6, 30), (1, 5), (6, 18), (0, 3) }

a. Write the ordered pair (s) whose first and second coordinate have a greatest common factor of 3.

b. Write the ordered pair (s) whose first coordinate is a factor of its second coordinate.

c. Write the ordered pair (s) whose second coordinate is a prime number.

a) { (15,3) }

b) { (4,20), (6,30), (6,18) }

c) { (2,3), (15,3), (1,5), (0,3) }

Step-by-step explanation:

We are given the following ordered pair:

{ (4, 20), (8, 4), (2, 3), (15, 3), (6, 15), (6, 30), (1, 5), (6, 18), (0, 3) }

a) Ordered pair whose first and second pair has a greatest common factor of 3. Since GCD of 15 and 3 is 3.

{ (15,3) }

b) First coordinate is a factor of second coordinate

{ (4,20), (6,30), (6,18) }

Since 4 is a factor of 20, 6 is a factor of 30 and 6 is a factor of 18.

c) Second coordinate is a prime number.

{ (2,3), (15,3), (1,5), (0,3) }

Since 3 and 5 are prime numbers.