Question

What is the inequality pls help

Answer 1

`y<-(3)/(4)x+6`

Explanation:

Choosing two points on the dotted line to find equation of line.

The points are:

`(0,6)` and
`(4,3)`

Slope of line can be calculated as:

`m=(y_2-y_1)/(x_2-x_1)`

`m=(3-6)/(4-0)`

`m=(-3)/(4)`

Using point slope equation to find equation of dotted line.

`y=mx+b`

where
`m` represents slope of line and
`b` represents y-intercept.

The y-intercept for the dotted line = 6 as it intersects the y-axis at (0,6)

So, the equation of line is:

`y=-(3)/(4)x+6`

The dotted line indicates that the line is not included in the solution.

The solution of the inequality is below the dotted line, so thus it would be less than the line.

So, the inequality would be:

`y<-(3)/(4)x+6`