Solving and Graphing Linear Inequalities

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

Question

Question:
Solve each inequality and graph the solution on a number line. Part a: 3x plus 7 is greater than 19. Part b: 5 minus 2n is less than or equal to 13. Part c: 4 times the quantity y minus 3 is greater than or equal to negative 8. For part c, use two methods: first, distribute and then solve; second, divide both sides by 4 first and then solve. Confirm both methods give the same answer.

Solving and Graphing Linear Inequalities

This lesson covers solving one- and two-step linear inequalities, including cases that require distributing and cases that require dividing by a negative number. Students learn the critical rule about flipping the inequality sign and how to represent solutions on a number line using open and closed circles.

In this lesson, you will learn to:
• Solve linear inequalities using addition, subtraction, multiplication, and division, applying the sign-flip rule

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.

More Algebra solutions · Browse all video solutions · Get AI homework help or book an online tutor

Related video solutions

• Comparing Rates of Change in Linear and Non-Linear Graphs
  Algebra · Algebra — Grade 9
• Comparing Rates of Change in Linear and Non-Linear Graphs
  Algebra · Algebra — Grade 9
• Compare Expressions and Identify Equivalent Forms
  Algebra · Algebra — Grade 9
• Applying Mathematical Processes and Communicating Reasoning
  Algebra · Algebra — Grade 9
• Solving Two-Step Linear Equations
  Algebra · Algebra — Grade 7
• Solving Linear Equations
  Algebra · Algebra — Grade 9
• Solving Linear Equations
  Algebra · Algebra — Grade 8
• Real-World Application: Linear Modeling
  Algebra · Algebra 1 · Big Ideas Math · Ron Larson · Chapter 4-