The region satisfying the inequalities y - x 2, x + y 5, x 0 and y 0 is

Step-by-step solution

The given inequalities are: y - x 2 x + y 5 x 0 y 0 Let us plot the corresponding lines to find the bounded region: 1. The line y - x = 2 intersects the y-axis at (0, 2) and the x-axis at (-2, 0) . The inequality y - x 2 (or y x + 2 ) represents the region above this line. 2. The line x + y = 5 intersects the y-axis at (0, 5) and the x-axis at (5, 0) . The inequality x + y 5 (or y -x + 5 ) represents the region below this line. 3. x 0 represents the region to the right of the y-axis. 4. y 0 represents the region ab