The ordered pairs that satisfy the conditions y < x, y > 5, and x > 2 are C. (9,7) and D. (8,6). Options A, B, E, and F do not meet all of the given Inequalities.
The question requires us to determine which of the given ordered pairs satisfy the conditions y < x and y > 5 and x > 2.
We can check each option by plugging in the x and y values from the ordered pairs.
A. (6,6): y = 6, x = 6. Since y is not less than x (y = x), this does not satisfy y < x.
B. (7,5): y = 5, x = 7. This does not satisfy y > 5 because y = 5.
C. (9,7): y = 7, x = 9. Both y < x and y > 5 and x > 2 are satisfied here.
D. (8,6): y = 6, x = 8. Both y < x and y > 5 and x > 2 are satisfied here.
E. (-3, 8): y = 8, x = -3. Since x is not greater than 2 (x < 2), this does not satisfy x > 2.
F. (3,2): y = 2, x = 3. This does not satisfy y > 5 because y = 2.
Therefore, the ordered pairs that satisfy all conditions are C. (9,7) and D. (8,6).