Solve the compound inequality.
x +4> 9 or 4x<-32

x>5 or x<-8

Step-by-step explanation:

x +4> 9 or 4x<-32

Solve the first one first

x+4>9

Subtract 4

x+4-4 > 9-4

x >5

Then solve the second one

4x<-32

Divide by 4

4x/4 < -32/4

x < -8

x>5 or x<-8

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: