Question

solve the system of inequality graphically.x+y<=9,y>x,x>=0​

Answer 1

Answer:

Step 1: Write inequations as equations

x + y = 9, y = x and x = 0

Step 2: Draw graph for both the lines.

For x + y = 9

x y

0 9

9 0

Mark points, (0,9) and (9,0) on the graph and draw a line passing through both the points.

For y = x

x y

0 0

1 1

-1 -1

Mark points, (0,0), (1,1) and (-1, -1) on the graph and draw a line passing through the points.

Step 3: Find the solution area.

Checking for (0, 0)

Here x = 0 and y = 0, putting in given inequations, x + y ≤ 9, y > x, x ≥ 0 Case 1: x + y ≤ 9

0 ≤ 6 (Which is true)

Shade the region which contain origin. Case 2: y > x

0 > 0 (Which is not true)

Shade the region away from the origin. (Towards top)

Case 3: x ≥ 0

0 ≥ 0 (Which is true)

Shade the region toward right side of the line.

Now, highlight the common region found by the inequations.

I hope this may helps you! :)