Write the equation of linear inequalities to represent each graph.

Green Line:

This is a horizontal line at x = 0, so it would be:

x ? 0      

Since the shaded area is going to the left of 0 (this means x is negative):

x ≤ 0

Blue Line:

The shaded area is below the line, so:

y ≤ mx + b

When x = 0, y is -5.

y ≤ mx - 5

From each point, you go up 3 units, and to the right 4 units, so the slope is .

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation: