Answer:The graph attachedy ≤ 6 - x x ≤ 4Step-by-step explanation:∵ x + y ≤ 6∴ y ≤ 6 - x* Lets draw the line y = 6 - x * Assume that:· x = -1 ⇒ y = 7 ⇒ (-1 , 7)· x = 0 ⇒ y = 6 ⇒ (0 , 6) · x = 1 ⇒ y = 5 ⇒ (1 , 5)· x = 2 ⇒ y = 4 ⇒ (2 , 4)* Plot the points on the graph and make the line sold ( ≤ )* Shade all the region under the line∵ x ≤ 4* Lets draw the line x = 4* All the points on this line have x-coordinate = 4 (vertical line)* Draw a vertical line on x = 4 the line is sold (≤)* Shade all the region left to the line* The solutions of this system of equations will be on the common shaded parts of the two lines (red and blue together)