Select the inequalities represented by the graph below. Select all that apply.

Question

asked Sep 26, 2019 67.6k views

2 Answers

Bruceparker · Answer 1 · 2019-09-30T09:20:33+0000

Answer:

$2x+y\geq c$

$y\geq -2x+c$

Explanation:

we know that

The solution of the inequality of the graph is the shaded area above the solid line

The slope of the solid line is negative

The y-intercept of the solid line is the point
(0,c)

therefore

The inequalities represented by the graph are

case 1)
$2x+y\geq c$

isolate the variable y

$y\geq -2x+c$

The solution of this inequality is the shaded area above the solid line

The slope of the solid line is negative
m=-2

The y-intercept of the solid line is the point
(0,c) (value of y when the value of x is equal to zero)

case 2)
$y\geq -2x+c$ ------> idem case 1)