Finding Solutions of Linear Inequalities in Two Variables

• Jina can reach her goal by making only home visits.

• Jina can reach her goal with only 2 days of telephone calls

• If Jina does home visits for 4 days, she only needs 2 days of telephone calls. 

• If Jina makes telephone calls for 5 days, she only needs 1 day of home visits. 

Luka and Dana are making cookies for the Westland Pantry. They only have up to 6 hours to bake! They can bake 32 chocolate chip cookies in an hour (x), and 20 snickerdoodle cookies in an hour (y). They need to make at least 150 cookies. Which one of these is a valid solution?

• (3, 2)

• (1, 4)

• (2, 8)

• (5, 1)

You can work no more than 10 hours each week at your two jobs. Housecleaning pays $5 per hour and your sales job pays $8 per hour. You need to earn at least $56 each week to pay your bills. Write a system of inequalities to represent this scenario.

Garima likes her job as a baby-sitter (b), but it pays only Rs300 per hour. She has been offered a job as a tutor (t) that pays Rs600 per hour. Because of school, her parents only allow her to work a maximum of 15 hours per week, but she needs to make at least Rs6600 per week. Which system of inequalities below correctly models Joann's situation?

• b + t < 15

  3b + 6t > 66

• b + t > 15

  3b + 6t < 66

• 3b + 6t > 15

  b + t < 66

• 300b + 600t < 15

  b + t < 66

the process of finding the maximum or minimum values of a function for a region defined by inequalities

• linear programming

• system of inequalities

• ordered triple

______ ___________ is a method for finding maximum or minimum values of a function for a region defined by a system of linear inequalities.

A(n) ________ is a mathematical sentence that contains the symbols <, ≤, >, ≥, or ≠.

Which point below is NOT part of the solution set?

• (0, 0)

• (-10, -10)

• (-1, 5)

• (5, 20)

Which point below is NOT part of the solution set?

• (0, 0)

• (5, 1)

• (-1, -3)

• (20, -5)

Select the solution of the inequality

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