Write the inequality shown by the shaded region in the graph with the boundary line y = -2x – 5

Question

Write the inequality shown by the shaded region in the graph with the boundary line y = -2x – 5

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Mít Mít 5 years 2021-08-31T16:45:16+00:00 1 Answers 33 views 0

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  1. ThanhThu
    0
    2021-08-31T16:46:36+00:00
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    Answer:

    We do not have the image, so we can answer in a general way.

    We know that the boundary line is y = -2*x – 5

    We can have 4 cases:

    1) a dashed line and the shaded part is above the line.

    y >  -2*x – 5

    2) a dashed line and the shaded part is below the line

    y < -2*x – 5

    Here we have dashed lines because the values of the line are not solutions for the inequality.

    3) a solid line and the shaded part is above the line.

    y ≥  -2*x – 5

    4) a solid line and the shaded part is below the line.

    y ≤  -2*x – 5

    Here we have solid lines because the values in the line itself are solutions.

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