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Mathematics
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Identify the shading and type of boundary for the graph of y ≥ 4 − 5x
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first draw a graph of \(y = 4 - 5x\). now your inequality states that \(y\ge\4-5x\), so we know that at each x-value, y must be greater than or equal to this value. this indicates that the line \(y = 4 - 5x\) should be INCLUDED as on that line y is equal to \(4-5x\). we can also say that all points above the line should be INCLUDED as the inequality is y is equal to or greater than this value. so, in summary, you need to draw the straight line graph of \(y=4-5x\) (making sure that the line itself is SOLID) and then shade the area above it. here is a picture of this:
|dw:1326756500349:dw|
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