Which is the graph of the linear inequality 2x – 3y < 12? On a coordinate plane, a solid straight line has a positive slope a

Question

Which is the graph of the linear inequality 2x – 3y < 12?

On a coordinate plane, a solid straight line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything to the right of the line is shaded.

On a coordinate plane, a dashed straight line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything to the right of the line is shaded.

On a coordinate plane, a dashed straight line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything to the left of the line is shaded.

On a coordinate plane, a solid straight line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything to the left of the line is shaded.

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2 weeks 2021-11-21T10:36:58+00:00 2 Answers 0

Answers ( )

  1. Charlotte
    0
    2021-11-21T10:38:21+00:00

    Answer:

    b

    Step-by-step explanation:

  2. Charlotte
    0
    2021-11-21T10:38:26+00:00

    Answer:

    On a coordinate plane, a dashed straight line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything to the left of the line is shaded.

    Step-by-step explanation:

    1) This is our inequality:

    2x-3y<12

    2) Since its first member is lesser than we’ll trace a  dashed line for the left side is not included.

    3) The slope is the parameter that follow the x variable, in this case 2.

    4) Plugging the points. To verify:

    2x-3y<12

    2x-3y<12\\\\2(0)-3(-4)<12\\12<12 \:F\\2(3) -3(-2)<12\\6+6<12 \: F

    These points do not belong to the inequality, so the dashed line pass through these points.

    Then it’s

    On a coordinate plane, a dashed straight line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything to the left of the line is shaded.

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