Complex SELECT Statement help needed

I'm new to postgres and am trying to display rows in a table that are have a
value between 2 fields.

The rows I want to display should be selected by the grademin or grademax
fields. I'd like to display the rows in sections that are labeled Grades
3-5, 6-8, and 9-12.

The problem that I am having is I can't figure out how to write a statement
that will check both fields. And, especially when I have values in the like
this:

grademin 4 grademax 12 that I want to show up in all levels
grademin 5 grademax 12 ""
grademin 6 grademax 9 in 6-9 and 9-12

Below is what I have so far, but it falls flat on it's face when trying to
display rows that don't fall between the specific range.

How can I check grademin and max in the same statement?

$query = "SELECT
lessonwebid,lessontitle,gradelevel,grademin,grademax,reviewedby FROM
lessonplans WHERE grademin >= 3 OR grademin <= 5";

$query = "SELECT
lessonwebid,lessontitle,gradelevel,grademin,grademax,reviewedby FROM
lessonplans WHERE grademin >= 6 OR grademin <= 8";

$query = "SELECT
lessonwebid,lessontitle,gradelevel,grademin,grademax,reviewedby FROM
lessonplans WHERE grademin >= 9 OR grademin <= 12";

Thanks ahead for any suggestions.
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