Question

Which is the graph of the linear inequality 1/2x - 2y > -6?

Answer 1

It have to be the last graph, that one is the rigjt answer

Answer 2

Answer:

The correct option is 4.

Step-by-step explanation:

The given inequality is

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

The related equation is

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

Put x=0,

$\frac{1}{2}(0)-2y=-6$

$-2y=-6$

$y=3$

y-intercept is 3.

Put y=0,

$\frac{1}{2}x-2(0)=-6$

$\frac{1}{2}x=-6$

$x=-12$

x-intercept is -12.

Check the inequality by (0,0).

$\frac{1}{2}(0)-2(0)>-6$

$0>-6$

This statement is true. It means (0,0) lies in the shaded region.

The sign of inequality is >, it means the points lie  on the line are not included in the solution set. So, the related line is a dotted line.

Therefore correct option is 4.