Inequalities with addition and subtraction: set 1

Learning Objectives Define and identify the four main inequality symbols (<, >, ≤, ≥). Translate verbal phrases involving 'at least', 'at most', 'more than', and 'less than' into mathematical inequalities. Solve one-step inequalities using the Addition Property of Inequality. Solve one-step inequalities using the Subtraction Property of Inequality. Represent the solution set of a one-step inequality on a number line. Check if a given value is a valid solution to an inequality. You need at least $25 to buy a new video game. If you already have $11, how much more do you need to save? 🤔 Let's find out using inequalities! This lesson introduces inequalities, which are mathematical sentences used to compare quantities that are...

TermDefinitionExample InequalityA mathematical statement that compares two values or expressions that are not equal, using symbols like <, >, ≤, or ≥.x + 4 > 10 is an inequality. It states that the expression 'x + 4' is greater than 10. Solution SetThe set of all numbers that make an inequality true. Unlike equations which often have one solution, inequalities have infinitely many solutions.For the inequality x > 2, the solution set includes 3, 5, 2.1, and 100, but not 2 or 1. Greater Than (>)A symbol indicating that the value on the left is larger than the value on the right.7 > 3 (7 is greater than 3) Less Than (<)A symbol indicating that the value on the left is smaller than the value on the right.5 < 9 (5 is less than 9) Greater Than or Equal To (≥)A...

Addition Property of Inequality If a < b, then a + c < b + c. The same is true for >, ≤, and ≥. You can add the same number to both sides of an inequality without changing the inequality's truth. Use this to isolate a variable when a number is being subtracted from it. Subtraction Property of Inequality If a > b, then a - c > b - c. The same is true for <, ≤, and ≥. You can subtract the same number from both sides of an inequality without changing the inequality's truth. Use this to isolate a variable when a number is being added to it.