SOLUTION: Graph the inequality: 2x-3y is less then or equal to 12

SOLUTION: Graph the inequality: 2x-3y is less then or equal to 12

Algebra.Com

Question 87406: Graph the inequality:
2x-3y is less then or equal to 12
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given system of inequalities

In order to graph this system of inequalities, we need to graph each inequality one at a time.

First lets graph the first inequality
In order to graph , we need to graph the equation (just replace the inequality sign with an equal sign).
So lets graph the line (note: if you need help with graphing, check out this solver )

graph of
Now lets pick a test point, say (0,0) (any point will work, but this point is the easiest to work with), and evaluate the inequality

Substitute (0,0) into the inequality
Plug in and
Simplify
Since this inequality is true, we simply shade the entire region that contains (0,0)
Graph of with the boundary (which is the line in red) and the shaded region (in green)

RELATED QUESTIONS
Graph the inequality on a plane 2x + 3y (is less than or equal to) 6 (answered by stanbon)

Graph the inequality on a plane 2x+3y is less than or equal to 6 Thank... (answered by Fombitz)

solve the inequality. Then graph your solution. -8 is less than or equal to 2x... (answered by lynnlo)

Please Help! Graph the inequality and shade in the correct area of the graph: 2/3x... (answered by jim_thompson5910)

graph the following inequality on a plane; 3x+4y is less than or equal to... (answered by mangopeeler07)

Graph the inequality for why is less than or equal to negative 2X... (answered by ikleyn)

how would I graph this inequality 3x+4y>-12 and 2x is less than or equal to... (answered by richwmiller)

Graph the following inequality 3y-5x>or equal to 15 (answered by funmath)

Graph inequality. 3x+4y is less than or equal to... (answered by jim_thompson5910)