When is the sum of two integers greater than the difference?
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To determine when the sum of two integers is greater than the difference, we can set up an inequality and solve it algebraically.
Let's assume the two integers are represented by variables x and y.
The sum of two integers is x + y, and the difference is x - y.
So, according to the problem, we want to find when x + y is greater than x - y.
We can write this as an inequality: x + y > x - y.
To solve this inequality, we can start by isolating the variables on one side:
Add y to both sides: x + y + y > x - y + y.
This simplifies to: x + 2y > x.
Next, we can subtract x from both sides to further isolate y: 2y > 0.
Finally, divide both sides by 2 to solve for y: y > 0/2.
Therefore, the solution to the inequality is y > 0.
In conclusion, the sum of two integers (x + y) will be greater than the difference (x - y) when the second integer (y) is greater than zero.