when graphing inequality equation on number line, when do you use () or []

Question

-3 > x

(-00, -3] or [-00, -3] or what

the () and [] are confusing me.

Answer 1

I just want to add that you always use parentheses () with infinity, never brackets [].

Answer 2

If your answer is x < -3  "x is less than -3", That means that -3 is not included in your solution. The interval is ( - infinity ,  -3) ; parenthesis is used.  If the interval is [ -3, 0), in your solution is included -3 but not zero. That is to say, -3 ≤ x < 0 .  [ 1,0];both included. (1,3) none is included.

Answer 3

you would use a parenthesis when the inequality sign is "less than" or "greater than." So for the example you gave, you would use a parenthesis. (-00, -3)  This is pronounced, "The interval from negative infinity TO negative three."

You would use a bracket when the inequality sign is "less than or equal to" or "greater than or equal to." If you had "-3 is greater than or equal to x", for example, it would look like (-00, -3]

This is pronounced, "The interval from negative infinity THROUGH -3."

The brackets show that you go all the way through the number (equal to it), not just up to the number and stop.