How do you graphically represent the inequality x + y >= 5?

You're on a roll — The image shows a worked example for representing the inequality x + y 5 graphically. Step 1: Draw the boundary line. First, consider the corresponding equation x + y = 5. To draw this line, find two points that satisfy the equation. If x = 0, then 0 + y = 5 y = 5. So, the point is (0, 5). If y = 0, then x + 0 = 5 x = 5. So, the point is (5, 0). Plot these two points and draw a straight line through them. Since the inequality is x + y 5 (which includes "equal to"), the line should be continuous (solid), not dashed. Step 2: Determine the shaded region. Choose a test point that is not on the line. The easiest point to use is often the origin (0, 0). Substitute x = 0 and y = 0 into the original inequality x + y 5: 0 + 0 5 0 5 This statement is false. Step 3: Shade the appropriate region. Since the test point (0, 0) does not satisfy the inequality, the region containing (0, 0) is not part of the solution. Therefore, shade the region on the opposite side of the line from (0, 0). In this case, (0,0) is below and to the left of the line x+y=5, so the region above and to the right of the line should be shaded. The graph in the image correctly shows the solid line x+y=5 and the region above and to the right of it shaded, representing all points (x,y) for which x+y 5. Niko tayari kwa swali lingine 📸