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Solving Inequalities

This lesson focuses on solving and graphing inequalities in mathematics. It covers the essential vocabulary related to inequalities, including symbols such as "<", ">", and their meanings in relation to number lines. The lesson includes techniques for determining the direction of the solution graph based on the inequality symbol and provides practice problems for students to solve and graph inequalities. Emphasis is placed on understanding open and closed points, working with negative numbers, and practicing various inequality equations.

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Solving Inequalities

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  1. Solving Inequalities Lesson 2-9 & 2-10

  2. Math Vocabulary Review Inequality: A math sentence that compares (<, >, <, >) a point/points on a number line

  3. Review of Graphing Inequalities • Graph the given point of the inequality • PointsSymbol(s) • (closed) > OR < ◦ (open) > OR < • Determine what side of symbol the variable is on… “small” point OR “big” open • Choose a number to match the symbol side of variable • Graph solutions (arrow) in that direction m > -4

  4. Solving Inequalities +/- Similar to solving equations: Opposite Integer Math 3 < r + 6 - 6 - 6 -3 < r Graph: ___________________________________________

  5. Solving Inequalities +/- y – 14 < -26 + 14 +14 y < -12 Graph: ___________________________________________

  6. Practice Solve & Graph each inequality: • 8 + t <15 ___________________ • v – 4 < 7 ___________________ • t – 5 >11 ____________________

  7. Solving Inequalities x / ÷ 3y <-18 y < -6 Graph: _____________________________________ b > 3 4 b > 12 Graph: ______________________________________

  8. Solving Inequalities x / ÷ (w/ negatives) When “doing math” with negatives -3y < -18 y > 6 Graph: ______________________________________ b > 3 -4 b < -12 Graph: _______________________________________

  9. Practice Solve & Graph each inequality: • 4x< 40 • 36 > -9t • m >2 4 • 5 < r -3

  10. Homework p. 106-109 #3-6, 8, 10, 12, 16, 18, 20, 25-27, 37-39

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