The open sentence "r < 3 or r > -2" would result in a compound inequality graph with a solution set of all real numbers.
The open sentence that could have resulted in a compound inequality graph with a solution set of all real numbers is "r < 3 or r > -2".
Let's break it down step by step to understand why this open sentence would produce a solution set of all real numbers.
1. "r < 3" represents all values of r that are less than 3. This includes negative numbers, zero, and positive numbers that are less than 3.
2. "r > -2" represents all values of r that are greater than -2. This includes negative numbers greater than -2, zero, and positive numbers.
When we combine these two inequalities using the "or" operator, we are saying that the solution set includes all values of r that satisfy either "r < 3" or "r > -2".
Since these two conditions cover the entire number line, the solution set includes all real numbers. This means that any value of r will make the compound inequality true.
Therefore the open sentence "r < 3 or r > -2" would result in a compound inequality graph with a solution set of all real numbers.