Graph solutions to one-step inequalities

Learning Objectives Identify and interpret inequality symbols ($<, >, \le, \ge$). Determine if a given number is a solution to a one-step inequality. Correctly use open and closed circles to represent boundary points on a number line. Graph the solution set of one-step inequalities (e.g., $x > 5$, $y \le -2$) on a number line. Interpret a given graph on a number line and write the corresponding inequality. Solve simple one-step inequalities and then graph their solutions. Ever wondered how to show all the numbers that are 'more than 5' or 'less than 10' on a single line? 📏 Let's learn how to draw these 'solution pictures'! In this lesson, you'll discover what inequalities are, how their solutions are different from equations...

TermDefinitionExample InequalityA mathematical statement that compares two expressions using an inequality symbol, showing that one is not necessarily equal to the other.$x > 7$ (x is greater than 7) or $y \le 10$ (y is less than or equal to 10). Inequality SymbolsSpecial symbols used to show the relationship between two values. They are: $<$ (less than), $>$ (greater than), $\le$ (less than or equal to), $\ge$ (greater than or equal to).The symbol in $5 < 8$ means 'less than'. Solution to an InequalityAny value for the variable that makes the inequality true. Unlike equations, inequalities often have many solutions.For $x > 3$, numbers like 4, 5, 3.1, and 100 are all solutions. Number LineA line on which numbers are marked at regular intervals, used to represent...

Graphing 'Greater Than' ($>$) For an inequality like $x > a$, place an open circle at the number $a$ on the number line and draw an arrow extending to the right. This rule applies when the variable is strictly greater than a number. The open circle shows that 'a' is not part of the solution, but all numbers larger than 'a' are. Graphing 'Less Than' ($<$) For an inequality like $x < a$, place an open circle at the number $a$ on the number line and draw an arrow extending to the left. This rule applies when the variable is strictly less than a number. The open circle shows that 'a' is not part of the solution, but all numbers smaller than 'a' are. Graphing 'Greater Than or Equal To' ($\ge$)...