Determine the type of boundary line and shading group for the inequality 2x + y = 4

Dashed line with shading on the side that does not include the origin.

Step-by-step explanation:

Given the inequality 2x + y  > 4, first recognize that the inequality symbol is '>', indicating that the line on the graph will be dashed because it is not also equal to.  After that, you can solve for 'y' by moving '2x' to the other side of the inequality and identifying two points on your graph:

2x + y > 4

Subtract '2x' from both sides:  2x + y - 2x > 4 - 2x

y > -2x + 4

y-intercept = 4  (4,0)

slope = -2  (down 2, right 1) (1, 2)

Connecting these two points gives a line above the origin and since y > -2x + 4, then it would be shaded above and not include the origin.

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step-by-step explanation: