Solve one-step linear inequalities

Learning Objectives Identify the four inequality symbols and their meanings. Solve one-step linear inequalities using addition and subtraction. Solve one-step linear inequalities using multiplication and division. Correctly apply the rule for reversing the inequality symbol when multiplying or dividing by a negative number. Represent the solution set of a one-step inequality on a number line. Verify if a given number is a solution to a one-step inequality. Ever wondered how to figure out the minimum score you need on a final exam to get an A? 🤔 That's an inequality problem! While you may have seen inequalities before, mastering them is the essential first step to understanding and graphing systems of linear inequalities. This lesson will solidify your skills in solvin...

TermDefinitionExample Linear InequalityA mathematical statement that compares two expressions using an inequality symbol. Unlike an equation, which has one solution, an inequality has a range of solutions.x + 5 > 12 Solution SetThe set of all numbers that make the inequality true. This can be an infinite number of values.For x > 7, the solution set includes 7.1, 8, 10, 95, and any other number greater than 7. Inequality SymbolsSymbols used to show the relationship between expressions. They are: < (less than), > (greater than), ≤ (less than or equal to), and ≥ (greater than or equal to).10 ≥ 2x means '10 is greater than or equal to 2 times x'. Inverse OperationsOperations that 'undo' each other. They are used to isolate the variable in an inequality, just as...

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 inequality symbol. This is used to isolate a variable when a number is being added to or subtracted from it. 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 inequality symbol. This is used to isolate a variable when it is being multiplied or divided by a positive number. The Golden Rule: Multiplication and Division by a Negative Number If a > b and c < 0, then ac < bc and a/c &lt...