SOLUTION: graph the inequality 3x+y<=5 Please show me how you get the answer.

Question 82541: graph the inequality 3x+y<=5 Please show me how you get the answer.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
graph the inequality 3x+y<=5 Please show me how you get the answer.
-------
To graph any INEQUALITY you have to first graph the EQUALITY
which is the boundary of INEQUALITY:
Graph y=-3x+5

Then:
Pick a test point that is not on the line, say (0,0)
Substitute that into the INEQUALITY: 3*0+0<5; 0+0<5; 0<5
That is false; that tells you the half-plane containg (0,0)
is NOT in the solution set;
Therefore the solution set is the half-plane on the other
side of the boundary line.
Darken it.
Final Solution for your problem: The line together with the darkened
half-plane.
=============================
Cheers,
Stan H.
RELATED QUESTIONS
graph y=-2x+1 Please show me how you get the... (answered by 303795)

Please help me with solving this inequality and please show me how you came up with the... (answered by solver91311)

Solve each system by graphing 3x-4y=13 2x+y=5 I got y=2x-5 and y=3/4-13/4 Is that... (answered by MathLover1)

Need help with solving this inequality, and also could you please show me how you arrived (answered by Earlsdon)

2x+y>-6 Please graph the following inequality and show me how you worked the problem. (answered by Alan3354)

Please show me how to graph these . 24. x+y> or equal to -2. Also 3x-2y>2. Its says... (answered by ReadingBoosters)

How do you Graph the inequality: y>-4/3x+1. by the way, the -4/3 is a fraction. can you... (answered by ewatrrr)

graph the inequality. I know how to get the points to graph I'm just not sure how to... (answered by Fombitz)

Graph the following inequality: 4x + y > or = 4 i'm stuck please show how you... (answered by stanbon)