Question

Write the linear inequality shown in the graph. The gray area represents the shaded region.

y < 4x – 3

y ≤ 4x + 3

y > 4x – 3

y ≥ 4x + 3

Answer 1

As before, find the equation of the dashed line. I see that the slope, m, is 8/2, or 4. Since the gray (shaded) area is above this dashed line the proper answer choice is y > 4x – 3,

Answer 2

`y<4x-3`

Explanation:

we know that

The solution of the inequality is the shaded area below the dashed line

The slope of the line is positive

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

The equation of the line is
`y=4x-3`

therefore

The equation of the inequality is

`y<4x-3` ------> remember that the solution is below the dashed line