Question 116851



Think about how you've done {{{inequalities}}} on the number line. 
For instance, they'd ask you to graph something like {{{x > 2}}} or {{{y<2 }}} 
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 <= -2 }}}

the first step is to find the " {{{equals}}} " part, or{{{ x = -2 }}}  
then graph it:


*[invoke plot_any_graph "x<=-2", -10, 10, -10, 10, 300, 300]
	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}}}"