solving inequalities

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SOLVING INEQUALITIES

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SOLVING INEQUALITIES. Solve. Then graph the solution. Solve. Then graph the solution. Treat an inequality like it is an equation. Solve. Then graph the solution. Treat an inequality like it is an equation. Solve. Then graph the solution. Treat an inequality like it is an equation. - PowerPoint PPT Presentation

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Page 1: SOLVING INEQUALITIES

SOLVING INEQUALITIES

Page 2: SOLVING INEQUALITIES

Solve. Then graph the solution.𝑛−7≥2

Page 3: SOLVING INEQUALITIES

Solve. Then graph the solution.𝑛−7≥2 Treat an inequality like it is an equation.

Page 4: SOLVING INEQUALITIES

Solve. Then graph the solution.𝑛−7≥2 Treat an inequality like it is an equation.

𝑛−7=2

Page 5: SOLVING INEQUALITIES

Solve. Then graph the solution.𝑛−7≥2 Treat an inequality like it is an equation.

𝑛−7=2 Solve the equation.

Page 6: SOLVING INEQUALITIES

Solve. Then graph the solution.𝑛−7≥2 Treat an inequality like it is an equation.

𝑛−7=2 Solve the equation.

𝑛=9

Page 7: SOLVING INEQUALITIES

Solve. Then graph the solution.𝑛−7≥2 Treat an inequality like it is an equation.

𝑛−7=2 Solve the equation.

𝑛=9 Reinsert the inequality symbol.

Page 8: SOLVING INEQUALITIES

Solve. Then graph the solution.𝑛−7≥2 Treat an inequality like it is an equation.

𝑛−7=2 Solve the equation.

𝑛=9 Reinsert the inequality symbol.

𝑛≥9

Page 9: SOLVING INEQUALITIES

Solve. Then graph the solution.𝑛−7≥2 Treat an inequality like it is an equation.

𝑛−7=2 Solve the equation.

𝑛=9 Reinsert the inequality symbol.

𝑛≥9 Graph your result.

Page 10: SOLVING INEQUALITIES

Solve. Then graph the solution.𝑛−7≥2 Treat an inequality like it is an equation.

𝑛−7=2 Solve the equation.

𝑛=9 Reinsert the inequality symbol.

𝑛≥9 Graph your result.

9

Page 11: SOLVING INEQUALITIES

Solve. Then graph the solution.𝑛−7≥2 Treat an inequality like it is an equation.

𝑛−7=2 Solve the equation.

𝑛=9 Reinsert the inequality symbol.

𝑛≥9 Graph your result.

9

Page 12: SOLVING INEQUALITIES

Solve. Then graph the solution.𝑛−7≥2 Treat an inequality like it is an equation.

𝑛−7=2 Solve the equation.

𝑛=9 Reinsert the inequality symbol.

𝑛≥9 Graph your result.

9

Page 13: SOLVING INEQUALITIES

Solve. Then graph the solution.𝑛−7≥2 Treat an inequality like it is an equation.

𝑛−7=2 Solve the equation.

𝑛=9 Reinsert the inequality symbol.

𝑛≥9 Graph your result.

9

Page 14: SOLVING INEQUALITIES

Solve. Then graph the solution.𝑛−7≥2 Treat an inequality like it is an equation.

𝑛−7=2 Solve the equation.

𝑛=9 Reinsert the inequality symbol.

𝑛≥9 Graph your result.

9

Check your result.

Page 15: SOLVING INEQUALITIES

Solve. Then graph your solution.10+𝑦>12

Page 16: SOLVING INEQUALITIES

Solve. Then graph your solution.10+𝑦>12

𝑦>2

Page 17: SOLVING INEQUALITIES

Solve. Then graph your solution.10+𝑦>12

𝑦>2

2

Page 18: SOLVING INEQUALITIES

Solve. Then graph your solution.10+𝑦>12

𝑦>2

2

Page 19: SOLVING INEQUALITIES

Solve. Then graph your solution.10+𝑦>12

𝑦>2

2

Page 20: SOLVING INEQUALITIES

Solve. Then graph your solution.12+𝑣 ≤19

Page 21: SOLVING INEQUALITIES

Solve. Then graph your solution.12+𝑣 ≤19

𝑣 ≤7

Page 22: SOLVING INEQUALITIES

Solve. Then graph your solution.12+𝑣 ≤19

𝑣 ≤7

7

Page 23: SOLVING INEQUALITIES

Solve. Then graph your solution.12+𝑣 ≤19

𝑣 ≤7

7

Page 24: SOLVING INEQUALITIES

Solve. Then graph your solution.12+𝑣 ≤19

𝑣 ≤7

7

Page 25: SOLVING INEQUALITIES

Solve. Then graph your solution.12+𝑣 ≤19

𝑣 ≤7

7

Page 26: SOLVING INEQUALITIES

It will take at least 360 points for Henry’s team to win the math contest. Henry’s teammates have scores of 94, 82, and 87. How many points must Henry score in order for his team to win?

Application

Page 27: SOLVING INEQUALITIES

It will take at least 360 points for Henry’s team to win the math contest. Henry’s teammates have scores of 94, 82, and 87. How many points must Henry score in order for his team to win?

Application

Page 28: SOLVING INEQUALITIES

It will take at least 360 points for Henry’s team to win the math contest. Henry’s teammates have scores of 94, 82, and 87. How many points must Henry score in order for his team to win?

Application

94+82+87+𝑥 ≥360

Page 29: SOLVING INEQUALITIES

It will take at least 360 points for Henry’s team to win the math contest. Henry’s teammates have scores of 94, 82, and 87. How many points must Henry score in order for his team to win?

Application

94+82+87+𝑥 ≥360

263+𝑥 ≥360

Page 30: SOLVING INEQUALITIES

It will take at least 360 points for Henry’s team to win the math contest. Henry’s teammates have scores of 94, 82, and 87. How many points must Henry score in order for his team to win?

Application

94+82+87+𝑥 ≥360

263+𝑥 ≥360

𝑥≥97

Page 31: SOLVING INEQUALITIES

It will take at least 360 points for Henry’s team to win the math contest. Henry’s teammates have scores of 94, 82, and 87. How many points must Henry score in order for his team to win?

Application

94+82+87+𝑥 ≥360

263+𝑥 ≥360

𝑥≥97 So Henry must score 97 or more points in order for his team to win.

Page 32: SOLVING INEQUALITIES

3.2: 2 – 38, 46 – 66 (evens)

Assignment