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Open Sentences

Open Sentences. Open Sentences. Solve open sentence equations. What You'll Learn. Solve open sentence inequalities. Vocabulary. 6) set 7) element 8) solution set 9) inequality. 1) open sentence 2) solving an open sentence 3) solution 4) equation 5) replacement set.

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Open Sentences

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  1. Open Sentences

  2. Open Sentences • Solve open sentence equations. What You'll Learn • Solve open sentence inequalities. Vocabulary 6) set 7) element 8) solution set 9) inequality 1) open sentence 2) solving an open sentence 3) solution 4) equation 5) replacement set

  3. Open Sentences The Homeowners Association is planning a community-wide garage sale, and their advertising budget is $135.

  4. Open Sentences The Homeowners Association is planning a community-wide garage sale, and their advertising budget is $135. The expression 15.50 + 5n can be used to represent the cost of purchasing n + 1 kits.

  5. Open Sentences The Homeowners Association is planning a community-wide garage sale, and their advertising budget is $135. The expression 15.50 + 5n can be used to represent the cost of purchasing n + 1 kits. The open sentence, 15.50 + 5n < 135 can be used to ensure that the budget is met.

  6. Open Sentences A mathematical statement with one or more variables is called an _____________.

  7. Open Sentences open sentence A mathematical statement with one or more variables is called an _____________.

  8. Open Sentences open sentence A mathematical statement with one or more variables is called an _____________. An open sentence is neither true nor false until the variables have been replaced by specific values.

  9. Open Sentences open sentence A mathematical statement with one or more variables is called an _____________. An open sentence is neither true nor false until the variables have been replaced by specific values. The process of finding a value for a variable that results in a true sentence is called _______________________.

  10. Open Sentences open sentence A mathematical statement with one or more variables is called an _____________. An open sentence is neither true nor false until the variables have been replaced by specific values. The process of finding a value for a variable that results in a true sentence is called _______________________. solving the open sentence

  11. Open Sentences open sentence A mathematical statement with one or more variables is called an _____________. An open sentence is neither true nor false until the variables have been replaced by specific values. The process of finding a value for a variable that results in a true sentence is called _______________________. solving the open sentence The replacement value is called a ________ of the open sentence.

  12. Open Sentences open sentence A mathematical statement with one or more variables is called an _____________. An open sentence is neither true nor false until the variables have been replaced by specific values. The process of finding a value for a variable that results in a true sentence is called _______________________. solving the open sentence solution The replacement value is called a ________ of the open sentence.

  13. Open Sentences open sentence A mathematical statement with one or more variables is called an _____________. An open sentence is neither true nor false until the variables have been replaced by specific values. The process of finding a value for a variable that results in a true sentence is called _______________________. solving the open sentence solution The replacement value is called a ________ of the open sentence. A sentence that contains an equals sign =, is called an _________.

  14. Open Sentences open sentence A mathematical statement with one or more variables is called an _____________. An open sentence is neither true nor false until the variables have been replaced by specific values. The process of finding a value for a variable that results in a true sentence is called _______________________. solving the open sentence solution The replacement value is called a ________ of the open sentence. equation A sentence that contains an equals sign =, is called an _________.

  15. Open Sentences A set of numbers from which replacements for a variable may be chosen is called a ________________.

  16. Open Sentences A set of numbers from which replacements for a variable may be chosen is called a ________________. replacement set

  17. Open Sentences A set of numbers from which replacements for a variable may be chosen is called a ________________. replacement set A ____ is a collection of objects or numbers.

  18. Open Sentences A set of numbers from which replacements for a variable may be chosen is called a ________________. replacement set set A ____ is a collection of objects or numbers.

  19. Open Sentences A set of numbers from which replacements for a variable may be chosen is called a ________________. replacement set set A ____ is a collection of objects or numbers. A set is often shown using brackets { } and is usually name by a capital letter.

  20. Open Sentences A set of numbers from which replacements for a variable may be chosen is called a ________________. replacement set set A ____ is a collection of objects or numbers. A set is often shown using brackets { } and is usually name by a capital letter. Each object or number in the set is called an ________, or member.

  21. Open Sentences A set of numbers from which replacements for a variable may be chosen is called a ________________. replacement set set A ____ is a collection of objects or numbers. A set is often shown using brackets { } and is usually name by a capital letter. element Each object or number in the set is called an ________, or member.

  22. Open Sentences A set of numbers from which replacements for a variable may be chosen is called a ________________. replacement set set A ____ is a collection of objects or numbers. A set is often shown using brackets { } and is usually name by a capital letter. element Each object or number in the set is called an ________, or member. The ____________ of an open sentence is the set of elements from the replacement set that make an open sentence true.

  23. Open Sentences A set of numbers from which replacements for a variable may be chosen is called a ________________. replacement set set A ____ is a collection of objects or numbers. A set is often shown using brackets { } and is usually name by a capital letter. element Each object or number in the set is called an ________, or member. The ____________ of an open sentence is the set of elements from the replacement set that make an open sentence true. solution set

  24. Open Sentences Example: Use a Replacement Set to Solve an Equation Find the solution set for the equation if the replacement set is { 3, 4, 5, 6, 7 }.

  25. Open Sentences Example: Use a Replacement Set to Solve an Equation Find the solution set for the equation if the replacement set is { 3, 4, 5, 6, 7 }.

  26. Open Sentences Example: Use a Replacement Set to Solve an Equation Find the solution set for the equation if the replacement set is { 3, 4, 5, 6, 7 }. 3 6(3) + 7 = 37 False

  27. Open Sentences Example: Use a Replacement Set to Solve an Equation Find the solution set for the equation if the replacement set is { 3, 4, 5, 6, 7 }. 3 6(3) + 7 = 37 False 4 6(4) + 7 = 37 False

  28. Open Sentences Example: Use a Replacement Set to Solve an Equation Find the solution set for the equation if the replacement set is { 3, 4, 5, 6, 7 }. 3 6(3) + 7 = 37 False 4 6(4) + 7 = 37 False 5 6(5) + 7 = 37 True

  29. Open Sentences Example: Use a Replacement Set to Solve an Equation Find the solution set for the equation if the replacement set is { 3, 4, 5, 6, 7 }. 3 6(3) + 7 = 37 False 4 6(4) + 7 = 37 False 5 6(5) + 7 = 37 True 6 6(6) + 7 = 37 False

  30. Open Sentences Example: Use a Replacement Set to Solve an Equation Find the solution set for the equation if the replacement set is { 3, 4, 5, 6, 7 }. 3 6(3) + 7 = 37 False 4 6(4) + 7 = 37 False 5 6(5) + 7 = 37 True 6 6(6) + 7 = 37 False 7 6(7) + 7 = 37 False

  31. Open Sentences Example: Use a Replacement Set to Solve an Equation Find the solution set for the equation if the replacement set is { 3, 4, 5, 6, 7 }. 3 6(3) + 7 = 37 False 4 6(4) + 7 = 37 False 5 6(5) + 7 = 37 True 6 6(6) + 7 = 37 False 7 6(7) + 7 = 37 False The solution set is: { 5 }

  32. Open Sentences Example: Use a Replacement Set to Solve an Equation Find the solution set for the equation if the replacement set is

  33. Open Sentences Example: Use a Replacement Set to Solve an Equation Find the solution set for the equation if the replacement set is

  34. Open Sentences Example: Use a Replacement Set to Solve an Equation Find the solution set for the equation if the replacement set is

  35. Open Sentences Example: Use a Replacement Set to Solve an Equation Find the solution set for the equation if the replacement set is

  36. Open Sentences Example: Use a Replacement Set to Solve an Equation Find the solution set for the equation if the replacement set is

  37. Open Sentences Example: Use a Replacement Set to Solve an Equation Find the solution set for the equation if the replacement set is The solution set is:

  38. An open sentence that contains the symbol is called an ___________. Open Sentences

  39. An open sentence that contains the symbol is called an ___________. Open Sentences inequality

  40. An open sentence that contains the symbol is called an ___________. Reading Math Inequality symbolsare read as follows. Study Tip is less than is less than or equal to is greater than is greater than or equal to Open Sentences inequality

  41. Find the solution set for the inequality if the replacement set is Open Sentences Example: Find the Solution Set of an Inequality

  42. Find the solution set for the inequality if the replacement set is Open Sentences Example: Find the Solution Set of an Inequality

  43. Find the solution set for the inequality if the replacement set is Open Sentences Example: Find the Solution Set of an Inequality 7 18 – 7 < 10 False

  44. Find the solution set for the inequality if the replacement set is Open Sentences Example: Find the Solution Set of an Inequality 7 18 – 7 < 10 False 8 18 – 8 < 10 False

  45. Find the solution set for the inequality if the replacement set is Open Sentences Example: Find the Solution Set of an Inequality 7 18 – 7 < 10 False 8 18 – 8 < 10 False 9 18 – 9 < 10 True

  46. Find the solution set for the inequality if the replacement set is Open Sentences Example: Find the Solution Set of an Inequality 7 18 – 7 < 10 False 8 18 – 8 < 10 False 9 18 – 9 < 10 True 10 18 – 10 < 10 True

  47. Find the solution set for the inequality if the replacement set is Open Sentences Example: Find the Solution Set of an Inequality 7 18 – 7 < 10 False 8 18 – 8 < 10 False 9 18 – 9 < 10 True 10 18 – 10 < 10 True 11 18 – 11 < 10 True

  48. Find the solution set for the inequality if the replacement set is Open Sentences Example: Find the Solution Set of an Inequality 7 18 – 7 < 10 False 8 18 – 8 < 10 False 9 18 – 9 < 10 True 10 18 – 10 < 10 True 11 18 – 11 < 10 True { 9, 10, 11 } The solution set is:

  49. Open Sentences As mentioned earlier, solution sets do not have to be numbers. Here’s an example: Consider the following open sentence. It is the name of a month between March and July.

  50. Open Sentences As mentioned earlier, solution sets do not have to be numbers. Here’s an example: Consider the following open sentence. It is the name of a month between March and July. Your replacement set is

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