SOLUTION: Graph the inequality. x <= -2 If you could help me through all the steps. In particular I do not understand how to show these graphs.

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Question 116851: Graph the inequality.
x <= -2
If you could help me through all the steps. In particular I do not understand how to show these graphs.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!


Think about how you've done inequalities on the number line.
For instance, they'd ask you to graph something like x+%3E+2 or y%3C2+
Recall that:
greater than" meant "everything_+off+_to_+the_+right" on the number line
less than" meant "everything+_off_+to_+the+_left" the number line
now do your inequality:
+x+%3C=+-2+
the first step is to find the " equals " part, or+x+=+-2+
then graph it:

Solved by pluggable solver: PLOT any graph
Graphing function x%3C=-2:

graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+x%3C=-2+%29

You have already graphed the " or_equal_to " part (it is just the horizontal line);
now you are ready to do the " x_greater_than" part; it means, this is where you need to of the line .
All you need to be sure is do you need x LESS THAN the line, do you need ABOVE the line, or BELOW the line?
Naturally, you want BELOW the line. So shade it in: the LINE and BELOW the line.
the side you shaded is the "solution_+region"