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7-3 Solving Multi-Step Inequalities

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Presentation on theme: "7-3 Solving Multi-Step Inequalities"— Presentation transcript:

1 7-3 Solving Multi-Step Inequalities

2 Drill #104 -5x > 20 ¾ x > -12 6x > x + 5x + 1
Solve each inequality, then graph the solution on a number line: -5x > 20 ¾ x > -12 6x > x + 5x + 1

3 HW Solutions Solutions to selected homework problems will be posted on the back board. People with Quad Duty and Detention can get names removed by solving homework problems on the board. If any problems are left unsolved, homework will collected and graded.

4 Coach Class Cancelled for Today
There will be a coach class tomorrow at 3:15.

5 Video Game Arcade The admission to a video game arcade is $1.25 per person, and it costs $0.50 for each game played. Devin and Desmond have a total of $10.00 to spend. At most how many games can they play?

6 Solving Multi-Step Inequalities
Use the same steps as solving for equalities: Simplify (distribute, combine like terms) Group (group your variables to one side of the inequality) Isolate (isolate your variable by grouping non-variables on the other side) Remove (remove the coefficient in front of the variable. Remember to change the inequality if you are multiplying or dividing by a negative #)

7 Classwork #104 Solve each inequality: -4w + 9 < w – 21
5(x + 2) + 2(x – 2) > 3x + 2

8 Finding Solution Sets of Inequalities
When finding the solution set of inequalities: Solve the inequality for the selected variable. Determine which values from the replacement set belong to the solution set.

9 Example: Find the solution set for: 3x + 7 > 10
if the replacement set is { -5, 0, 1, 3, 6} First solve for x. Find values in the solution set which make the equation true.

10 Classwork 3. Find the solution set for -3x + 5 > 20
if the replacement set is { -9, -7, -5, -3, -1}

11 Study Guide 7-3 Complete Study Guide 7-3
All study guides will be collected at the end of the unit.


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