Graph 2x + y > 6Test point :

We have to graph the inequality:

We have to write the line that represent the boundary between the solution region and the other region.

We can write the equation of this line as:

This line has the y-intercept at (0,6).

We can find another point of this line by giving a value to x, for example x = 3:

Then, the point (3, 0) also belongs to this line.

We can graph the line that limit this two regions as:

Now, if we look at the inequality, this line does not belong to the solution region as we have a ">" sign.

We can find which of the two regions is the solution region by testing one point.

For example, we can test for (0,0):

Then, (0,0) is outside of the solution region. Then, the solution region is above the line y = -2x + 6:

mr. flanders’ class sold 47 doughnuts and   mr. rodriquez’s class sold 38 cartons of milk

step-by-step explanation:

let x be the number of doughnuts sold by mr. flanders’ class and y be the number of cartons sold by mr. rodriquez’s class.

1. together, the classes sold 85 items, then

x+y=85.

2. both classes earn earned $104.49 for their school. if doughnuts were sold for $1.35 each, then x doughnuts costed $1.35x. if cartons of milk were sold for $1.08 each, then y cartons costed $1.08y. hence,

1.35x+1.08y=104.49.

3. solve the system of two equations: