# Inequalities In Algebra County Types of inequality symbols

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Slide 2 Inequalities In Algebra County Slide 3 Types of inequality symbols Slide 4 Slide 5 How to read inequalities Slide 6 x is greater than 5 Slide 7 x is greater than or equal to 5 Slide 8 x is less than 5 Slide 9 x is less than or equal to 5 Slide 10 4 is less than x x is greater than 4 Slide 11 Examples Slide 12 Mike, you cannot eat more than 3 hot dogs. Let h = hot dogs Slide 13 I can only spend \$90 on groceries today. Let d = dollars spent Slide 14 There are more than 200 people here today. Let p = number of people Slide 15 Every adult could have 32 teeth. Let t = number of teeth Slide 16 I have less than 50 pennies in my bank. Let p = number of pennies Slide 17 The national debt is more than three million dollars. Let d=dollars in debt Slide 18 Graphing them on a line graph Slide 19 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 Slide 20 Slide 21 h is everthing except 3. Slide 22 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 Slide 23 Slide 24 Can we use the same methods for solving inequalities as we used for solving equations? Slide 25 Yes, except for when we multiply or divide by a negative number. Slide 26 What do we do when we multiply or divide by a negative number? Slide 27 Switch the inequality sign. Slide 28 Solving inequalities: examples Copy on your notes Slide 29 -5 Thats legal. 33 Thats legal too. -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 Slide 30 Then we write this in set builder notation: Slide 31 +1 -4 Thats legal. Thats only legal if you switch the inequality sign. -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 Slide 32 In set builder notation: Slide 33 Thats only legal if you switch the inequality sign. Slide 34 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 In set builder notation: Slide 35 The End

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