The word "and" means both statements must be true. The word "or" means that at least one of the statements must be true.
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According to the site Math Planet, 'A compound inequality contains at least two inequalities that are separated by either "and" or "or".' In the case of "and", a compound inequality such as x > -1 and x < 2 can also be written as: -1 < x < 2 (I also took this example from Math Planet.) There is no such shortcut for the "or" case.
toast! "DING"
This compound inequality cannot be solved.
when graphing a line you simply plot the points based on the ordered pairs and connect the dots; there you have a line. An inequality graph refers to the shaded region of the coordinate plane that does not coincide with the line, hence the term, inequality.
It is easiest to describe the difference in terms of coordinate geometry. A linear equation defines a straight line in the coordinate plane. Every point on the line satisfies the equation and no other points do. For a linear inequality, first consider the corresponding linear equality (or equation). That defines a straight line which divides the plane into two. Depending on the direction of the inequality, all points on one side of the line or the other satisfy the equation, and no point from the other side of the line does. If it is a strict inequality (< or >) then points on the line itself are excluded while if the inequality is not strict (≤or ≥) then points on the line are included.