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Solving and Graphing Multistep Inequalities with Real-World Applications

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This resource focuses on solving and graphing multistep inequalities, perfect for students seeking to enhance their understanding. It includes step-by-step practice problems, such as determining possible widths for a banner using a perimeter of no more than 48 feet. Additionally, it covers related story problems, including the perimeter constraints of an isosceles triangle. Through various examples and exercises, learners will gain confidence in tackling inequalities involving variables on both sides and applying distance properties effectively.

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Solving and Graphing Multistep Inequalities with Real-World Applications

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Presentation Transcript

  1. 4-4 Multistep Inequalities

  2. Ex. 1 2 step • Solve and Graph

  3. Your Practice

  4. Ex. 2 Story Problems • Use perimeter • P = 2l + 2w • No more than 48 feet • The school band needs to carry a banner in a parade. The banner committee decides that the length of the banner should be 18 feet. What are the possible widths of the banner if they can use no more than 48 feet of trim?

  5. Your Practice • The perimeter of an isosceles triangle is at most 27 cm. The base is 8 cm long. Find the highest possible length of the other two sides.

  6. Ex. 3 Using Dist. Property • Solve • Solve

  7. Your Practice • Solve

  8. Ex. 4 Variables on Both Sides • Solve

  9. Your Practice • Solve

  10. Ex. 5 Multistep • Solve

  11. Your Practice • Solve

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