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4-6 solving inequalities using multiplication and division

4-6 solving inequalities using multiplication and division. Miss battaglia – algebra 1 CP Objective: Use multiplication and division to solve one-step inequalities; use inequalities to model real-world problems. Warm up.

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4-6 solving inequalities using multiplication and division

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  1. 4-6 solving inequalities using multiplication and division Miss battaglia – algebra 1 CP Objective: Use multiplication and division to solve one-step inequalities; use inequalities to model real-world problems.

  2. Warm up • A tree is 4.5 m tall and has a shadow 5.4 m long. How tall is a bush that has a shadow 1.5 m long? (Hint: Set up a proportion)

  3. Work with a partner • Consider the inequality 4 > 1 • Replace each with <, >, or =.

  4. Multiplication property of inequality For all real numbers a and b, for c > 0; If a > b, then ac > bc If a < b, then ac < bc For all real numbers a and b, for c < 0; If a > b, then ac < bc If a < b, then ac > bc

  5. Division property of inequality For all real numbers a and b, for c > 0; If a > b, then If a < b, then For all real numbers a and b, for c < 0; If a > b, then If a < b, then

  6. example • Consider the inequality -2 > -5 • What inequality do you get when you multiply each side by 3? • b) What inequality do you get when you multiply each side by -3?

  7. Solve & graph

  8. Solve & graph

  9. Solve & graph

  10. Solve & graph

  11. Community service • The student council is sponsoring a recycling drive to raise money to buy food for a food bank. A case of 12 jars of spaghetti costs $13.50. What is the greatest number of cases of sauce the student council can buy if they collect $216?

  12. classwork

  13. homework • Pg 188–189 # 2- 4, 11, 12, 17-22, 24

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