Question

this is a interval notation question.
3x+12<30
I got x=6
but I have not idea how to write this as an interval notation. can you also explain how to know which side the infinity sigh goes on.

Answer 1

there's no equal sign its an inequality so x<6 meaning from -infinity till just before 6

Answer 2

\[(-\infty,6)\] is this what you mean ?

Answer 3

yes

Answer 4

so how will I know which side the infinity sigh goes on, in front of the number or behind it.

Answer 5

and if it is neg or pos

Answer 6

in interval notation the smaller number is always on the left side,and -infinity in the smallest number you can think of,so its always on the left and never included in the interval

Answer 7

which is which < and > which is greater than and which is less than
does this matter in where to put the infty sigh

Answer 8

<:less than
>:greater than
-infinity always on the left side and not included
+infinity always on the right side and not included

Answer 9

do you have a example, by any chance

Answer 10

example solve the inequality:x+3>6=>x>6-3=>x>3