Question

Which system of inequalities is represented by the graph?

1.) x + 2y 5 and 3x + y 4
2.) x + 2y 5 and 3x + y 4
3.) x + 2y 5 and 3x + y 4
4.) x + 2y 5 and 3x + y 4

Answer 1

Explanation:

Answer 2

the blue line...
(1,2),(3,1)
slope = (1 - 2) / (3 - 1) = -1/2
there is a y int at (0,2.5) or (0,5/2)
it is shaded below the line....and it is a solid line
this inequality is :
y = -1/2x + 5/2
1/2x + y = 5/2
x + 2y = 5
x + 2y < = 5.....this is ur inequality


red line...
(0,4), (1,1)
slope = (1 - 4) / (1 - 0) = -3/1 = -3

there is a y int at (0,4)
it is shaded below the line...and it is a solid line
this inequality is :
y = -3x + 4
3x + y = 4
3x + y < = 4 ...this is ur inequality

summary :
ur 2 inequalities are :
x + 2y < = 5 and 3x + y < = 4