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Subsection Interval Notation. A common way to represent solutions of an inequality is with interval notation. An interval is a set that consists of all the real numbers between two numbers $$a$$ and $$b\text{.}$$ A.8 Interval Notation and Solving Inequalities 2010 3 September 22, 2010 Sep 1­1:52 PM Interval Notation with Infinity The symbol ∞ (infinity) indicates unboundedness in a positive direction. The symbol -∞ (negative infinity) indicates unboundedness in a negative direction. Match the following intervals with the appropriate inequalities. Another commonly used, and arguably the most concise, method for describing inequalities and solutions to inequalities is called interval notation. With this convention, sets are built with parentheses or brackets, each having a distinct meaning. The solutions to x ≥ 4 are represented as [4, ∞) , interval notation: Compound Inequalities. Solving Compound Inequalities Using Union • Two inequalities separated by the word or • Solve each linear inequality as normal • To graph, draw 3 number lines with equal intervals: – On the first number line, graph the solution to the first inequality – On the second number line, graph the Solve-variable.com gives useful advice on interval notation calculator, rational numbers and arithmetic and other algebra subjects. In the event that you have to have assistance on value as well as elementary algebra, Solve-variable.com is the ideal place to head to! Write your answer using interval notation. Solving each individual inequality, we have: -2x > -8 and -2x < 12 < > Remember to reverse the inequality symbol when dividing by a negative. x < 4 x > -6 The solution set using interval notation is (-6, 4). Solving by applying a direct approach: -8 < -2x < 12 > >