![]() However, these are the techniques that one must remember to avoid confusion. Translating mathematical statements into inequality can sometimes be confusing and difficult. TRANSLATING MATHEMATICAL STATEMENTS INTO INEQUALITY Therefore, the solution set is defined by (−4,5]. Since we have, it means only 5 is included in the solution set. Then, we can say that -4 is the lower limit and 5 is the upper limit. When we see notations such as a ≤ b ≤ c or a ≤ b −4. Thus, the solution set of $x\leq 3$ is ($-\infty,3$]. To write the solution set of $x\leq 3$, we use the symbols to indicate that the value of 3 is included. The figure below shows how you can easily spot an inequality that denotes greater than. ![]() To graph the inequality greater than, use an open circle to mark the starting value and point the arrow towards the positive infinity. INEQUALITY IN NUMBER LINE GRAPHING GREATER THAN IN A NUMBER LINE DIVISION PROPERTYįor any real numbers a, b, and $c\neq 0$, Take note that every time you multiply an inequality with negative number, you must reverse the inequality symbol. Subtraction property of inequality states that if a common constant term c is subtracted to both sides of inequality, then, for any real number a, b, and c:
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