Which point is a solution to the inequality shown in this graph?

A) (0,5)

Step-by-step explanation:

Coordinate point (0,5) lies within the bounded blue region

Option A is correct that is ( 0 , 5 ) is the solution of the given inequality.

Step-by-step explanation:

Given

A graph of inequality.

Two point on the line of inequality ( -3 , -6 ) and ( 3 , 2 )

To find: From the given point which is the solution of the given inequality.

Clearly from graph, strictly Inequality as given line is dotted line not a complete line.

So given point ( -3 , -6 ) and ( 3 , 2 ) are solution of the inequality.

Also, point ( 5 , 2 ) is not the solution as it lies outside the shaded region.

Therefore, Option A is correct that is ( 0 , 5 ) is the solution of the given inequality as it lies in the shaded region.

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:

b) 1/3 * 1/5

step-by-step explanation:

each smallest part is 1/15 since the written one is 1/5 and it's divided by 3 equal parts. (1/5 )/3 = 1/15 = 1/3 * 1/5