Solving linear inequalities with multiplication Now we subtract both sides of the inequality by 3x. Subtract 10 from both sides of the inequality. Isolate the variable x by subtracting 8 from both sides of the inequality. Solving linear inequalities with subtraction We start by adding both sides of the inequality by 5įinally, divide both sides of the inequality by 4 to get Ĭalculate the range of values of y, which satisfies the inequality: y − 4 − 9 Let’s see a few examples below to understand this concept. Solving linear inequalities with addition Linear inequalities can be solved using the following operations: Multiplying or dividing an inequality by a negative number changes the inequality symbol. The only difference when solving linear equations is an operation that involves multiplication or division by a negative number. Like linear equations, inequalities can be solved by applying similar rules and steps with a few exceptions. Similarly, dividing both sides of an inequality equation by a negative number changes the inequality symbol.The inequality symbol does not change when the same number is added on both sides of the inequality.
The general rules for these operations are shown below. Operations on linear inequalities involve addition, subtraction, multiplication, and division. Inequalities are used to compare numbers and determine the range or ranges of values that satisfy the conditions of a given variable. These inequality symbols are: less than ( ), less than or equal ( ≤), greater than or equal ( ≥) and the not equal symbol ( ≠).
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