SOLUTION: Graph the inequality: x + y is greater than or equal to 6

SOLUTION: Graph the inequality: x + y is greater than or equal to 6

Algebra.Com

Question 104166: Graph the inequality:
x + y is greater than or equal to 6
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
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, (just make sure the point doesn't lie on the line) but this point is the easiest to work with. Now evaluate the inequality with the test point

Substitute (0,0) into the inequality
Plug in and
Simplify

Since this inequality is not true, we do not shade the entire region that contains (0,0). So this means we shade the region that is on the opposite side of the line
Graph of with the boundary (which is the line in red) and the shaded region (in green)

RELATED QUESTIONS
graph the inequality y greater than or equal to x^2+3x-18 (answered by Fombitz)

Please graph the inequality 4x+y is greater than or equal to... (answered by Nate)

graph the inequality y is greater than or equal to... (answered by Nate)

graph the inequality y is greater than or equal to... (answered by fractalier)

Graph the inequality 4x + y is greater than or equal to... (answered by funmath)

Graph the inequality. y is greater than or equal to 1 (answered by bucky)

Graph the system of inequalities. x+2y is less than or equal to 6 2x+y is less thab or... (answered by solver91311)

graph the system of inequalities y is greater than or equal to -3 x is greater than or... (answered by mangopeeler07)

graph the system of inequalities; y is greater than or equal to-3 x is greater than or... (answered by mangopeeler07)