Answer:
The graph attached
y ≤ 6 - x
x ≤ 4
Step-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)
