How do you solve a absolute value problem ?

Step-by-step explanation:

Step 1: Isolate the absolute value expression.

Step 2: Set the quantity inside the absolute value notation equal to + and - the quantity on the other side of the equation.

Step 3:Solve for the unknown in both equations.

Step 4:Check your answer analytically or graphically.

I hope this helps!

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: