You may want to review equations and comparing numbers first.

Inequalities are very similar to equations. The only difference is that, instead of a ‘=’ sign in the middle, they have one of four other signs. Two of those you already know about: ‘<’ and ‘>’. The other two are ‘≤’ and ‘≥’. The meaning of ‘≤’ is either ‘<’ or ‘=’. So 2 ≤ 4 is right, and 4 ≤ 4 is also right. (However, 5 ≤ 4 is wrong.) Similarly, ‘≥’ means either ‘>’ or ‘=’.

As with equations, a solution of an inequality is just a value of x that makes it right. So, if we were asked whether 0 was a solution of −4(−x + 2) > 3(0), we would substitute 0 in for x, and do the computations on both sides, getting −8 > 0. This is wrong, so the answer is no, 0 is not a solution.

You should know that, unlike equations, which usually have only one solution, inequalities usually have lots. Thus, in the example above, 3 and 4 would both have been solution.