"11 less than three times a number is the same as 75 less than the product of -1 and the number"

x=-16

Step-by-step explanation:

Let the number be x.

11 less than three times a number would be represented as 3x - 11.

75 less than the product of -1 and the number would be represented as -x - 75

Those two expressions are the same.

3x - 11 = -x - 75

3x        = -x - 64

4x        =     -64

x = -16

Hope this helps!!  :)

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: