# System of linear inequalities | Algebra homework help

<object:standard:macc.912.a-rei.4.12>Which of the following points lie in the solution set to the following system of inequalities?

y < -3x + 3

y < x + 2

#### Question 2

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The coordinate grid shows points A through K. Which points are solutions to the system of inequalities listed below?

2x + y ≤ 10

2x – 4y < 8

#### Question 3

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Choose the graph below that represents the following system of inequalities:

y -3x + 1

y x + 3

#### Question 4

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A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test. With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week. If c represents child bikes and a represents adult bikes, determine which system of inequality best explains whether the company can build 10 child bikes and 12 adult bikes in the week.

#### Question 5

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The graph below represents which system of inequalities?

#### Question 6

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The graph below represents which system of inequalities?