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Understanding Sign Changes in Algebraic Inequalities: Insights from Braulio, Numan, Monshur, and Willy

In this engaging discussion, Braulio, Numan, Monshur, and Willy explore the critical concept of changing signs when solving algebraic inequalities. Through a real-world example, Willy raises the question of when to change the inequality sign, leading to a collective understanding. Braulio explains that the sign only changes when dividing by a negative number, while Monshur points out the importance of context in examples. Their enlightening moment reinforces key takeaways about handling inequalities in algebra, ensuring a better grasp of mathematical principles.

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Understanding Sign Changes in Algebraic Inequalities: Insights from Braulio, Numan, Monshur, and Willy

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Presentation Transcript

  1. A.A.24 Algebraic equation & Inequalities How Braulio, Numan, Monshur, and Willy solved an algebraic inequality in their UR

  2. The problem Solve for X:

  3. Willy: Why do you change the sign from <(is less than) to >(is greater than)? Braulio: You need to change the sign when you are solving problems with inequality signs. Willy: But why?

  4. The problem Example from UR Monshur: Look [point to the text] you don’t change the sign.Numan: You don’t have to change the sign, but I don’t know why

  5. Willy’s Ah-Ha Moment!! Willy: I learned that you change the sign (inequality) when you divided by a negativenumber, but here you divided by positive 4,so keep the sign.

  6. Our Take Away (1) If each side of an inequality is divided by the negative number, then change the sign. (2) They referenced to an existing example.

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