Which linear inequality is represented by the graph? y > 2/3x – 1/5 y ≥ 3/2x + 1/5 y ≤ 2/3x + 1/5 y < 3/2x – 1/5

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Question:

Which box-and-whisker plot represents this data: 6,9, 13, 13, 18, 20, 24, 25, 26, 28, 30, 30?

Answer:

What you must do for this case first is to find the equation of the line.
 We have then that by substituting the values of x = 0 and x = 3 we obtain:
 y = 0.2
 y = 2.2
 Respectively.
 So, the line is:
 y = 2 / 3x + 1/5
 Then, the points that satisfy the inequality are all those of the shaded region.
 Answer:
 The inequality is:
 y ≤ 2 / 3x + 1/5

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