Final answer:
Option C, 'b is greater than a,' is the correct choice because the inequality y > x + 3 implies that the value of 'b' in the ordered pair (a,b) must be greater than 'a' when accounting for an additional 3 units on the 'x'-value.
Step-by-step explanation:
The question is asking which statement is true when the ordered pair (a,b) satisfies the inequality y > x + 3. Looking at the options, option C, which states that “b is greater than a”, is the correct choice. This is because if we consider the point (a,b) to lie in the coordinate system where y is usually represented on the vertical axis and x on the horizontal axis, the inequality y > x + 3 tells us that the y-value must be higher on the graph than the x-value increased by 3, which in terms of the ordered pair means b must be greater than a + 3. Subtracting 3 from both sides of the inequality b > a + 3 gives us b - 3 > a, which confirms that 'b' is a larger number than 'a' when the '3' is accounted for.