Question

Choose the linear inequality that describes the graph.The gray area represents the shaded region.

Answer 1

We can see that line of the graph cutting x-axis at 1 and y-axis at -2. So the x-intecept would be 1 and y-intercept -2.

If we apply slope-intercept from y=mx+b, the value of b(y-intercept) should be -2.

For the given inequalities, we can see that first inequality

y<=2x-2 and y>=2x-2 has y-intercepts -2.

So, the correct option would be either y<=2x-2 or y>=2x-2 .

Let us see the shaded portion.

The shaded portion is left side of the line.

On the left side of the line ( in the shaded region), we can clealy see that values of y's are greater than the values of y's on rigth side of the shaded portion.

The inequality y>=2x-2 has the greater than sign and that represetns the greater values of y's.

So, the correct option is last option y>=2x-2.