Solving Compound Inequalities

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

Question

Question:
Solve each compound inequality and graph the solution on a number line. Part a: negative 4 is less than 2x plus 6, which is less than or equal to 14. Part b: 3 is less than or equal to 5 minus n, which is less than 9. For part a, also describe the solution in words, write it in interval notation, and create a real-world scenario modeled by the inequality.

Solving Compound Inequalities

This lesson covers how to solve 'and' compound inequalities written in three-part form by applying arithmetic operations to all three parts simultaneously. Students learn to write solutions in interval notation, describe them in words, and graph them on a number line, with special attention to flipping inequality symbols when multiplying or dividing by a negative number.

In this lesson, you will learn to:
• Solve a three-part compound inequality by isolating the variable through operations appl

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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