bananrooney
bananrooney bananrooney
  • 25-01-2020
  • Mathematics
contestada

Graph the inequality. x + 2y > 4

Respuesta :

calculista
calculista calculista
  • 30-01-2020

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

[tex]x+2y > 4[/tex]

Isolate the variable y

subtract x both sides

[tex]2y > -x+4[/tex]

Divide by 2 both sides

[tex]y > -\frac{1}{2}x+2[/tex]

The solution of the inequality is the shaded area above the dashed line

[tex]y=-\frac{1}{2}x+2[/tex]

The slope of the dashed line is negative

The y-intercept of the dashed line is (0,2)

The x-intercept of the dashed line is (4,0)

therefore

The graph in the attached figure

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