Question

22. Graph the system of linear inequalities shown below. Tell whether the graph is bounded or unbounded, and label the corner points. x 20 y20 x + y 21 x + y s7 (2x + y = 10

Answer 1

Q uzo 0 2 ut 4 20 + y = 1 Let's first convert this equation in slope intercopt forum lie y= mx +c) x + y = 1 Subtracting y from both sides > 1 x + y - y Subtracting a y -X > 1 - ferom both sides ut y = (-X) + 1 (3) n+y 드 구 >> ut y-x < 7-2 y <1-x)+7 ( 4) 4 ant y < 10 5 2x +y-au < 10-20 y = -22 + 10 For the inequality "3" (more than or equal to) we Shade the area above the line (y mx+c) & for inequality "s" (less than or equal to) we shade the area below the line y zmarc

The The So &q" O A covers The graph of eq D is of violet calour graph of eq" ① is of black colour the first quadrant graph of eq" ① is of red colour The graph of eq? O is of blue colour The graph of eqn 6 is of green colour From the graph we can see the common area bounded. So the graph is bounded. Corner points are (1,0), (5,0), (0, 1), (0,5) & (3,4)

20 10 50 O -10 -20

-4 2 -5 0 5 10 .2-

2. 0 LO 10 -2

6 4 -5 0 10