SOLUTION: 4x+5y is less than or equal to 20. must graph inequality

Question 147253: 4x+5y is less than or equal to 20. must graph inequality
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the 1st inequality.

Replace the inequality sign with an equals sign.

Subtract from both sides.

Divide both sides by to isolate .

Simplify.

So in order to plot or (which is the same thing), we need to plot the equation first.
(note: if you need help with graphing, check out this solver)

Graph of

Now plug in a test point (0,0) into the inequality

Start with the given inequality.

Plug in and

Evaluate and simplify.

Since the inequality is true, this means that we shade the entire region that contains the point (0,0)

In other words, we simply shade the entire region that is below the line.

Graph of with the shaded region in green

RELATED QUESTIONS
how do i graph the inequality 3X+5Y is less than or equal to... (answered by Fombitz)

4x+5y (answered by drk)
I'm trying to help my son but I need a little help also, anything would be appreciated,... (answered by stanbon)
Please help me graph the inequality? 2x + 5y is greater than or equal to... (answered by stanbon)
Graph 2x-y>3 Graph 6x-5y<20 Graph 7x+y less than or equal to -4 (answered by EdenWolf)
x+5y is less than or equal to 4 Please graph the following inequality and show me how... (answered by Alan3354)
graph the inequality y is less than or equal to... (answered by fractalier)
Graph the inequality. 3x + y is less than or equal to 5 (answered by Edwin McCravy)
Graph the inequality. 3x + y is less than or equal to 5 (answered by Kelsie)