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 



coordinate grid with plotted ordered pairs, point A at negative 5, 4 point B at 4, 7 point C at negative 2, 7 point D at negative 7, 1 point E at 4, negative 2 point F at 1, negative 6 point G at negative 3, negative 10 point H at negative 4, negative 4 point I at 9, 3 point J at 7, negative 4 and point K at 2, 3

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 



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

greater than or equal to -3x + 1

less than or greater to 1 over 2x + 3




Question 4 



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 



The graph below represents which system of inequalities?

graph of two infinite lines that intersect at a point. One line is solid and goes through the points (0, 2) (negative 2, 4) and is shaded in below the line. The other line is solid, and goes through the points (0, 2) (2, 0) and is shaded in below the line.




Question 6 



The graph below represents which system of inequalities?

graph of two intersecting lines. One line is solid, and goes through the points (0, negative 2) and (1, 0) and is shaded in below the line. The other line is dashed, and goes through the points (0, 3) (3, 0) and is shaded in above the line.


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