Graph solutions to one-step linear inequalities

Learning Objectives Solve one-step linear inequalities using addition and subtraction. Solve one-step linear inequalities using multiplication and division. Correctly apply the rule for multiplying or dividing an inequality by a negative number. Graph the solution set of a one-step linear inequality on a number line. Distinguish between open and closed circles when graphing an inequality. Interpret a number line graph to write the corresponding inequality. Ever needed to know the minimum score to pass a test or the maximum you can spend on a game? 🤔 That's an inequality! This tutorial will teach you how to solve simple inequalities that require just one step. You will then learn how to visually represent all the possible solutions on a number line, a key skill for und...

TermDefinitionExample InequalityA mathematical statement that compares two values that are not equal. It uses symbols like > (greater than), < (less than), ≥ (greater than or equal to), and ≤ (less than or equal to).x + 4 < 10 Solution SetThe set of all numbers that make an inequality true. Unlike equations which often have one solution, inequalities have an infinite range of solutions.For x > 5, the solution set includes 5.1, 6, 10, 100, and all other numbers greater than 5. Inverse OperationThe operation that reverses the effect of another operation. We use inverse operations to isolate the variable.Subtraction is the inverse of addition. Division is the inverse of multiplication. Number Line GraphA visual representation of an inequality's solution set on a line.A graph...

Addition and Subtraction Properties of Inequality If a > b, then a + c > b + c and a - c > b - c. You can add or subtract the same number from both sides of an inequality without changing the direction of the inequality symbol. This works for all four inequality symbols (<, >, ≤, ≥). Multiplication and Division Properties of Inequality (Positive Number) If a > b and c > 0, then ac > bc and a/c > b/c. You can multiply or divide both sides of an inequality by the same POSITIVE number without changing the direction of the inequality symbol. Multiplication and Division Properties of Inequality (Negative Number) If a > b and c < 0, then ac < bc and a/c < b/c. CRITICAL RULE: When you multiply or divide both sides of an inequality by a...