Solve for the inequality 18< 4m-15

Add 15 to both sides

18 + 15 < 4m

Simplify 18 + 15 to 33

33 < 4m

Divide both sides by 4

33/4 < m

Switch sides

m > 33/4

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:

move it to the other side

step-by-step explanation: