Question

Y > 3x -6

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m:3/1 b: -6

y-intercept: (0,-6)

shade below or above?

identify three possible solutions to the inequality graphed

Answer 1

• shade above
• (-7, 1), (-3, -5), (1, 2) are possible solutions

Explanation:

You want to know where the graph of y > 3x -6 is shaded, and you want 3 possible solutions.

Shading

The first part of the inequality is "y >". This tells you two things:

• shading is above the line
• the line is dashed

Solutions

Once you have graphed the line with slope 3 and y-intercept -6, you can readily identify points that are in the solution space. Three of them are marked in the attachment:

(-7, 1), (-3, -5) and (1, 2)

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Additional comment

"y >" tells you that solution values (y) will be greater than (above) those on the boundary line. If the relation were "greater than or equal to (≥)", then the boundary line would be included in the solution set. In that case, it would be a solid line.

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