How would I graph y is less than or equal to -1/2 on a number line?

Question

<------------------|-----|------|-----|------|-----|------|--------------------->
-3 -2 -1 0 1 2 3

Do I just stick a point between -1 and 0 and label it y?

Answer 1

When graphing, the open circle indicates "less than" and "greater than", the closed circle indicates "less than or equal to" and "greater than or equal to". In your case, you need a CLOSED circle at -1/2 and shade to the left since the numbers to the left of -1/2 are less in value. The arrow placed at the end indicates that ALL numbers in that direction are less than or equal to -1/2.

Answer 2

Closed circle on the -1/2 with an arrow to the right

Answer 3

No, just sticking a point between -1 and 0 and labelling it y would mean that y = -1/2

In addition to the point, you need to take care of y<-1/2 bit, so you stick an arrow pointing in the direction to the left of -1/2.

I would try to illustrate this as much as yahoo answers would let me.

y
<----------------------|
________ -1___-1/2___0

Answer 4

Not quite.

A colored in circle with an arrow (<--") on the number line means less than. An open circle with an arrow (<--o) means less than or equal to.

Your number line should look something like this.

<--------------|--<-o--|----> where | is -1 and | is 0.

Answer 5

-1/2 is center of [-1;0]
so y=-1/2 means y is the center of [-1;0]
y=(-1+0)/2=-1/2