4(x-3)=-x i need with this question .

-4(x-3)=-x

Multiply the bracket by -4

(-4)(x)=-4x

(-4)(-3)=12

-4x+12=-x

Move +12 to the other side

Sign changes from +12 to -12

-4x+12-12=-x-12

-4x=-x-12

Move -x to the other side

Sign changes from -x to +x

-4x+x=-x+x-12

-4x+x=-12

-3x=-12

Divide both sides by -3

-3x/-3=-12/-3

x=4

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: