Which linear inequality is shown on the graph? a) x + 4y ≥ −4 b) x + 4y ≤ −4 c) 4x + y ≥ −4 d) 4x + y ≤ −4

Option A

Step-by-step explanation:

The given graph is a solid line passing through two points ( -4, 0) and ( 0, -1 )

Let the equation of this line is y = mx+c

Where m = slope of the line =

              = = -

and y-intercept c = (-1)

therefore, equation will be y = ()x + (-1)

                                            y =

                                           4y = -x -4

                                           x + 4y = -4

Since shaded region is above the line therefore inequality will be (x+4y ≥ -4)

Option A is the answer.

boxplot e is the answer

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step-by-step explanation: