Solve the system of inequalities: 37−3x> 4x−2 19x−51≥5x+27

Given the system of inequalities:

Add 2 to both sides of the equation, we have;

Add 3 to both sides we have;

Divide both sides by 7 we get;

The solution set for this inequality is:

Given the system of inequalities:

Add 51 to both sides of the equation, we have;

Subtract 5x from both sides we have;

Divide both sides by 14 we get;

or

The solution set for this inequality is:

The combined solution for this system of inequality is; = ∅

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:

you are uyytr tyy

step-by-step explanation: