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

y > –5x – 3

y > –5x + 3

y > –3x + 5

y < –5x + 3

y > –5x + 3

Step-by-step explanation:

we know that

1) The solution of the inequality is the shaded area above the dashed line

so

The linear inequality could be

y > –5x – 3

y > –5x + 3

y > –3x + 5

2) The slope of the dashed line is negative > the three options have slope negative

3) The y-intercept of the dashed line is (0,3)

therefore

The linear inequality is

y > –5x + 3