Graph each inequality

Question

anonymous · Answer

$$y \le7 $$

anonymous · Answer

any help i would appreciate it

mysesshou · Answer

probably this:  

because it is less than or equal to, then the circle is filled in. 
put a circle at the 7,  draw to the left to show the values of y that are less than 7.  
is this what you've been learning? 

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anonymous · Answer

yes but i  dont understand this topic at all

mysesshou · Answer

ok, which part of my typed response was confusing?

anonymous · Answer

why it is filled in 

can the circle be not filled in

mysesshou · Answer

Ok: 

for the symbols $$\le $$ and $$\ge$$, the circle is filled in, because the value of y is less than or equal to 7. this means it could be equal to 7.  then these symbols are used, the circle is filled in. 

for < or >  the circle is an open circle.  
for example,   x < 3  means that x is less than 3 but not including 3.  everything smaller than 3 but not including it. 

ok so far?

anonymous · Answer

yes so far

mysesshou · Answer

That's about it for the circles, they are either filled in or not.  

For example, if you had  $$4 \le x < 8$$ you would get  this: 

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