Solving a Multi-Step Linear Inequality

Algebra · Algebra 1 · Big Ideas Math · Ron Larson · Chapter 2-

Question

Question:
Solve the inequality, graph the solution, and write the solution in interval notation. 3x plus 8 is less than or equal to 2x minus 4. Check your solution by substituting a value from the solution set back into the original inequality.

Solving a Multi-Step Linear Inequality

This lesson walks through solving a two-step linear inequality by applying the Addition and Subtraction Properties of Inequality. Students learn to isolate the variable, express the solution in interval notation, graph it on a number line, and verify the answer by substituting a test value.

In this lesson, you will learn to:
• Solve a linear inequality in one variable using inverse operations
• Express the solution set in interval notation using correct bracket and parenthesis notation
• Graph the solution set on a number line using open and closed dots
• Verify a solution by substituting a test value into

Step-by-step video solution

This DoAssignment.ca lesson explains the problem with a narrated, step-by-step solution for students studying Algebra from Algebra 1 · Big Ideas Math · Ron Larson.

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