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

The correct option is 4.

Explanation:

The given inequality is

`(1)/(2)x-2y>-6`

The related equation is

`(1)/(2)x-2y=-6`

Put x=0,

`(1)/(2)(0)-2y=-6`

`-2y=-6`

`y=3`

y-intercept is 3.

Put y=0,

`(1)/(2)x-2(0)=-6`

`(1)/(2)x=-6`

`x=-12`

x-intercept is -12.

Check the inequality by (0,0).

`(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.