Solving and Graphing Two-Step Inequalities | Math with Mr. J

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Summary

An educational tutorial on how to isolate variables in two-step inequalities, the rules for flipping inequality symbols, and how to represent solutions on a number line.

Highlights

Introduction and Fundamental Rules00:00:00

An overview of solving two-step inequalities using inverse operations, similar to equations, with the critical rule that the inequality symbol must flip when multiplying or dividing by a negative number.

Example 1: Solving and Graphing -6x + 15 ≥ 2700:00:52

A step-by-step demonstration of isolating the variable x, flipping the inequality sign after division by -6, and plotting the solution (x ≤ -2) on a number line with a filled circle.

Example 2: Solving and Graphing n/4 - 8 > 100:05:07

A walk-through of solving an inequality involving division and subtraction, resulting in n > 36, including instructions on using an open circle on the number line to indicate that 36 is not included.

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