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Mathematics 16 Online
OpenStudy (anonymous):

The graph below represents which system of inequalities? graph of two infinite lines that intersect at a point. One line is dashed and goes through the points (0, 2) (negative 2, 0) and is shaded in below the line. The other line is dashed, and goes through the points (0, 6) (3, 0) and is shaded in below the line. y < -2x + 6 y < x + 2 y less than or greater to -2x + 6 y less than or greater to x + 2 y < 2 over 3x - 2 y > 2x + 2 None of the above

OpenStudy (anonymous):

@AMYCARTER , @LilySwan

OpenStudy (anonymous):

@Texaschic101

sammixboo (sammixboo):

Picture of graph?

OpenStudy (anonymous):

OpenStudy (anonymous):

@sammixboo

sammixboo (sammixboo):

Ok, so the lines are dashed. That means the inequality is going to be using the less than (<) or grater than (>) symbols, so that marks out choice B

OpenStudy (anonymous):

okay

sammixboo (sammixboo):

How can we tell if the inequality is supposed to be shaded below or above the line?

sammixboo (sammixboo):

If the inequality is > or \(\ge\) then the line should be shaded ______ the line If the inequality is < or \(\le\) then the line should be shaded ______ the line

OpenStudy (anonymous):

Im not sure what the answer is @sammixboo

sammixboo (sammixboo):

Well, let me fill in the blanks for ya If the inequality is > or ≥ then the line should be shaded above the line If the inequality is < or ≤ then the line should be shaded below the line As we can tell, the shading is beneath the line, so both of the inequalities will have the less than (<) symbol

sammixboo (sammixboo):

So what choices to we have left? (refresh to erase black diamonds)

OpenStudy (anonymous):

im not sure

sammixboo (sammixboo):

Which of these two pairs of inequalities are both using the < symbol? y < -2x + 6 y < x + 2 or y < 2 over 3x - 2 y > 2x + 2

OpenStudy (anonymous):

The first two

OpenStudy (anonymous):

@sammixboo

sammixboo (sammixboo):

Yup! That's your answer

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