x>2, you use an open circle above the #2 and shade to the right. If the equation was greater than or equal to 2, you would use a closed circle and shade to the right! Less than 2 would use the open circle to not include 2 and you would shade all numbers to the left of 2. Less than or equal to 2, solid circle which includes #2 and shade all #'s to the left of 2!
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Compound inequalities is when there is two inequality signs. You will regularly graph compound inequalities on a number line.
Each inequality divides the Cartesian plane into two parts. On one side of the line the inequality is satisfied while on the other it is not. A system of inequalities divides the plane into a number of such parts and the intersection of these parts in which the inequalities are true defines the the required region.
strict inequality
Yes, they can.
In 2-dimensional space, an equality could be represented by a line. A set of equalities would be represented by a set of lines. If these lines intersected at a single point, that point would be the solution to the set of equations. With inequalities, instead of a line you get a region - one side of the line representing the corresponding equality (or the other). The line, itself, may be included or excluded. Each inequality can be represented by a region and, if these regions overlap, any point within that sub-region is a solution to the system of inequalities.