SOLUTION: graph the system of inequalities; y is greater than or equal to-3 x is greater than or equal to 6

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Question 147909: graph the system of inequalities; y is greater than or equal to-3
x is greater than or equal to 6

Answer by mangopeeler07(462) About Me  (Show Source):
You can put this solution on YOUR website!
y%3E=-3
x%3E=6
First simply graph the lines for y=-3 and x=6.
Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc
This equation defines a horizontal line. There is no X intercept. Y intercept is -3%2F1=-3
graph%28+500%2C+500%2C+-10%2C+10%2C+-3+-+10%2C+-3%2B10%2C+-3%2F1+%29+

Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc
this equation defines a vertical line.

  • X intercept: 6. X intercept is the intersection of the line with the x axis.

  • Y intercept: not defined (the line IS vertical)

  • Slope: not defined, can be thought of as infinite

graph%28+500%2C+500%2C+6-5%2C+6%2B5%2C+-10%2C+10%2C+1000000x-1000000%2A6+%29+


Then since y%3E=-3, shade the part of the graph above that line. And since x%3E=6, shade the part to the right of that line. Both illustrate that the numbers are getting higher along the axis. Once you have done this, you are done.
if you still need help, check out my lesson on graphing inequalities:
http://www.algebra.com/algebra/homework/Graphs/Inequalities-Made-Easy.lesson