In this Grade 7 lesson from Pengi Math Chapter 6, students learn to interpret and use inequality symbols (<, >, ≤, ≥), graph inequalities on a number line using open and closed circles, and translate verbal phrases into inequality statements. Students also verify solutions by substitution and solve one-step inequalities using the Addition and Subtraction Properties of Inequality.
Section 1
Contrasting Solutions of Equations and Inequalities
An equation is a mathematical statement that two expressions are equal (), and it typically has one specific solution.
An inequality is a mathematical statement that two expressions are not equal (), and it often has a range of many solutions.
Section 2
Checking if a Value is a Solution
A solution of an inequality is a value of a variable that makes a true statement when substituted into the inequality. To determine whether a number is a solution to an inequality:
Step 1. Substitute the number for the variable in the inequality.
Step 2. Simplify the expressions on both sides of the inequality.
Step 3. Determine whether the resulting inequality is true.
Expand to review the lesson summary and core properties.
Section 1
Contrasting Solutions of Equations and Inequalities
An equation is a mathematical statement that two expressions are equal (), and it typically has one specific solution.
An inequality is a mathematical statement that two expressions are not equal (), and it often has a range of many solutions.
Section 2
Checking if a Value is a Solution
A solution of an inequality is a value of a variable that makes a true statement when substituted into the inequality. To determine whether a number is a solution to an inequality:
Step 1. Substitute the number for the variable in the inequality.
Step 2. Simplify the expressions on both sides of the inequality.
Step 3. Determine whether the resulting inequality is true.