How to solve ;;

x-y <5 . How would I graph it ? Or solve it ?

To graph the inequality x - y < 5, we can follow these steps:

Step 1: Begin by graphing the line x - y = 5.
- Rewrite the equation as y = x - 5.
- Plot the y-intercept at (0, -5).
- Draw a straight line through the y-intercept with a slope of 1 (since the coefficient of x is 1).

Step 2: Determine which side of the line represents the solution.
- Since the inequality is less than (<), the shaded side should be below the line.

Step 3: Determine whether the line is dashed or solid.
- In this case, the line should be dashed because the inequality does not include "or equal to" (≤ or ≥).

Step 4: Shade the solution region.
- Shade the region below the dashed line.

To solve the inequality x - y < 5, we can follow these steps:

Step 1: Subtract x from both sides of the inequality to isolate y.
- The inequality becomes -y < -x + 5.

Step 2: Divide both sides of the inequality by -1. Note that when we divide by a negative number, we must flip the inequality sign.
- Dividing by -1 gives us y > x - 5.

Step 3: The solution to the inequality is y > x - 5.
- This means that any point above the line y = x - 5 will be a solution to the inequality.

Keep in mind that if you need to find specific points or regions that satisfy the inequality, you can substitute values into the original inequality and see if they hold true.