Conffused help needed
Since I am not sure as to whether you are referring to solving basic inequalities or solving inequalities to graph, I will give you the overview of the first category first.
You solve an inequality in the same fashion that is used to solve a regular equation with a variable such as 5x-2=8. The only difference is that instead of there being an equal sign, you will have a greater than(>), less than (<), greater than or equal to (>), or less than or equal to (<) sign in it's place.
The objective is find out what value of the variable will make the statement true.
Using the example that I mentioned above, if your problem was
You would be looking for the value of x that would make the statement (5x-2) is greater than 8 true. This side that the symbol opens up to is always the side that is greater.
You would treat the problem like you normally would when solving for x and add 2 to both sides
You would then divide both sides of the equation by 5 in order to isolate x
So in this case x is any number that is greater than two. This makes sense because 5 times a number greater than 2, say 5*3=15, for example, you would be able to plug that in to your inequality and get 13>8, which would make the statement true. Using 2, however does not make the statement true. 5*2=10. When you plug that back into your inequality, you wind up with 8>8, which is not a true statement. If you had, say, a greater than or equal sign (>), x would be any number greater than 2, but also the number 2 its self making the use of 2 for x a true statement.
Also, note that whenever you multiply or divide an inequality by a negative number, you must flip the inequality symbol. If your original equation had been
You would follow the same rules, adding 2 to both sides, and then dividing both sides by the coefficient of x to isolate it. You would have to be sure to flip the sign around, though, because the coefficient of x is negative.
This would mean that x must be any number less than 2 to make this inequality true.
I hope that this helps. Please let me know if you need help with anything else or are looking for something a bit more specific such as solving inequalities of two variable for graphing purposes.