Question

Which is the graph of the linear inequality 1/2 x – 2y > –6? Image for option 1 Image for option 2 Image for option 3 Image for option 4
e.d.g.e.n.u.i.t.y

Answer 1

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

$\frac{1}{2}x-2y > -6$

Isolate the variable y

$-2y > -6-\frac{1}{2}x$

Divide by -2 both sides

$y < 3+\frac{1}{4}x$

The solution of the inequality is the shaded area below the dashed line $y = 3+\frac{1}{4}x$

To plot the inequality find the intercepts

The y-intercept is the point (0,3)  (value of y when the value of x is equal to zero)

The x-intercept is the point (-12,0) (value of x when the value of y is equal to zero)

Plot the intercepts

Drawn the dashed line

shaded the region below the dashed line

The graph in the attached figure

Answer 2

Answer:

I think it is    D.

I could be wrong though, my apologies if I am :(