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4)

Write an inequality for the graph below. If necessary, use
<= for < or >= for .

4) Write an inequality for the graph below. If necessary, use <= for < or &gt-example-1
User Surya Tej
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1 Answer

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Answer:

y < -1/4x -1

Explanation:

The boundary line appears to go through the points (-4, 0) and (0, -1). This tells you it has a "rise" of -1 for a "run" of 4. The slope is ...

m = rise/run = -1/4

The y-intercept (b) is the point where the y-axis is crossed. The slope-intercept equation of the boundary line is ...

y = mx + b

y = -1/4x -1

__

The boundary line is dashed, so is not included in the solution set. The shading is below the line, so all y-values less than (but not equal to) the boundary line are in the solution set:

y < -1/4x -1

User Vovin
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