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Which inequality describes the graph

Y < 3/4x -3
Y _> 3/4x -3
Y _< 3/4x -3
Y > 3/4x -3

Which inequality describes the graph Y < 3/4x -3 Y _> 3/4x -3 Y _< 3/4x -3 Y-example-1
User TJaniF
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1 Answer

2 votes

Answer: Choice B)
y \ge (3)/(4)x-3

The boundary is the equation y = (3/4)x-3 which goes through (0,-3) and (4,0)

This boundary is a solid line. Since it's a solid line, we will involve "or equal to" as part of the inequality sign.

The shading above the boundary line indicates we'll also have "greater than" as part of the inequality sign.

So overall, the inequality sign is "greater than or equal to". That leads to choice B.

User Polakko
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