DO NOW Solve the equations: 2

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Presentation transcript:

DO NOW Solve the equations: 2𝑥=−14 𝑥 −5 =10

Quiz Review Solve and graph the inequality y – 2 > 6

Quiz review Solve and graph the inequality -2 < 8 + z

Quiz review The environmental club is selling indoor herb gardens for Earth Day. Each member is encouraged to sell at least 10 gardens. You sell 3 gardens on Monday and 4 gardens on Tuesday. Write an inequality that you can solve to find the possible number of gardens you can sell to reach your goal.

Quiz review Solve and graph the inequality 𝑝−10≥−17

Quiz review Solve the inequality 7.2+𝑧<13

QUIZ TIME!!

3-3 Solving inequalities using multiplication or division

Table of contents 1 Page # topic date ? 3-1 Inequalities and Their Graphs ? 3-2 Solving Inequalities Using Addition or Subtraction ? 3-3 Solving Inequalities Using Multiplication or Division 1

So what did that all mean? In the multiplication property of inequality…. If you multiply each side of the inequality by the same positive number, it is still true If you multiply each inequality by the same negative number, you must flip the sign for it to be true

True statement: 1 < 2 What happens when we multiply each side by -3?

Another True statement: 3>1 What happens when we multiply each side by -2?

Solve and graph the solutions 𝑥 3 <−2

You try. Solve and graph the solutions. 𝑐 8 > 1 4

Solve and graph the solutions − 3 4 𝑤≥3

You try. Solve and graph the solutions − 𝑛 3 <−1

So what did that all mean? In the division property of inequality…. If you divide each side of the inequality by the same positive number, it is still true If you divide each inequality by the same negative number, you must flip the sign for it to be true

True statement: 2 < 4 What happens when we multiply each side by -2?

Write an inequality and solve You walk dogs in your neighborhood after school. You earn $4.50 per dog. How many dogs do you need to walk to earn at least $75?

You try. Write an inequality and solve A student club plans to buy food for a soup kitchen. A case of vegetables costs $10.68. The club can spend at most $50 for this project. What are the possible numbers of cases the club can buy

What are the solutions of -9y<63? Graph the solutions. −9𝑦≤63

You try. What are the solutions of -5x>-10? Graph the solutions. −5𝑥>−10