Katlyn93
contestada

Which of the following inequalities is shown in the graph?

1) y ≤1/2x-2
2) y ≤-2x+1/2
3) y ≤2x+1/2
4) y ≥-2x+1/2

Which of the following inequalities is shown in the graph 1 y 12x2 2 y 2x12 3 y 2x12 4 y 2x12 class=

Respuesta :

almoomoo
The following inequality shown is 2) because the y-intercept is at 1/2 and the slope is negative. The graph is also shaded underneath so must include the values underneath the function

Point (0,0) lies on the shaded region.The shaded region lies below the line.

Putting ,x=0 and y=0 , from option(Inequality) 1 to 4

Option 1

 0 ≤ -2-----Incorrect

Option 2

0 ≤ 0.5-----Correct

Option 3

0 ≤ 0.5 -------Correct

Option 4

0 ≥ 0.5 -------Incorrect

Origin(0,0) Satisfy Inequality 2 and Inequality 3.

Equation of line cuts Positive x and positive y axis.Also, angle made by line with positive Direction of X axis is Positive.

So, Tangent of Angle will be Positive.

Option 3 ,that is Inequality 3,  satisfies the shaded region.

   [tex]y\leq 2x+\frac{1}{2}[/tex]

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