-9 < 8(r - 17) - 1
Solve for r

15.875 < r

Step-by-step explanation:

-9 < 8(r - 17) - 1

-9 < 8r - 137

+137    +137

128 < 8r

/8       /8

16 < r

r>16

Step-by-step explanation:

1.)  Add 11 to both sides.

-9+1<8(r-17)−9+1<8(r−17)

2.) Simplify  -9+1−9+1  to  -8−8.

-8<8(r-17)−8<8(r−17)

3.) Divide both sides by 88.

-1<r-17−1<r−17

4.) Add 1717 to both sides.

-1+17<r−1+17<r

5.) Simplify  -1+17−1+17  to  16.

16<r16<r

6.) Switch sides.

r>16r

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: