Question

Please help!!

How do you do this?

Write a system of inequalities to describe the
shaded region.

Answer 1

In Explanation.

Explanation:

In situations like this, you want to first find the equations of the individual lines.

Let's start with the left one.

It has a negative slope of 2 while it has a y-intercept of 1

y=-2x+1

is the equation.

The other line has a slope of 3/2.

The y-intercept is not visible, so we need to use point slope form.

I chose (2,-3)

y+3=3/2(x-2)

Simplify.

y=3x/2-3-3

y=3x/2-6

so we have

y=-2x+1

and

y=
`(3x)/(2)`-6

Since both lines are solid, the signs are ≥ or ≤

The shadings intersect above both lines so the individual shadings also have to be above the line.

That means the equation is less than the "y".

y≥-2x+1

y≥
`(3x)/(2)`-6