> and < with the lines under it mean that they can also be equal to the constant on the other side (greater/less than or equal to)
So x <= 3 can be anything less than 3 and 3.
*the = in this inequality is the equivalent of a line
Now vice versa.
x => 3 can be anything greater than 3 and 3.
Now for the dots.
The open dots in signs are (< and >).
Basically they start at that point they are on but don't include it.
So an open dot at 3 pointing to the left means that the value is greater than 3 but does not include 3.
The closed dots in signs are (<= and =>).
They start at the point and include it.
So a closed dot a 3 pointing to the left means that the value is greater than 3 and includes 3.
Arrows.
Arrows pointing to the left mean that the values are getting bigger.
Arrows pointing to the right mean that the values are getting smaller.
ie : An arrow pointing to the left with a starting point at 3 = 3 and anything bigger, such as 4.
ie : An arrow pointing to the right with a starting point at 3 = 3 and anything smaller, such as 2.
Solve for problems.
The main concept is isolate the variable.
This basically means make the variable be lonely ^^
Use +, -, *, and /
Ex : 6x + 2 > 3
First, we would subtract 2 from both sides.
6x > 1
Then, we would divide each side by 6, leaving the x alone.
x > 1/6
And voila! x is anything greater than 1/6 but it does not include 1/6.
Hope this helps! ^^
