Question

Here is another riddle:

-The sum of two numbers is less than 2
-If we subtract the second number from the first, the difference is greater than 1

The riddle can be represented by a system of inequalities. Write a inequality for each statement.


Name a possible (ordered pair) solution to the riddle.​

Answer 1

The system of inequalities that represents the riddle is:

x + y < 2 (the sum of two numbers is less than 2)
x - y > 1 (if we subtract the second number from the first, the difference is greater than 1)

One possible ordered pair solution to this system of inequalities is:

x = 1.5
y = 0.5

When you add these two numbers, you get 2 which is less than 2. And when you subtract the second number (0.5) from the first number (1.5), you get 1 which is greater than 1. Therefore, this solution satisfies both inequalities in the system.