Which point lies in the solution set of the inequality 1/2(x+2)+3y<8?

Note: Options are missing. So, the general solution of the given inequality is shown below.

Given:

The inequality is:

To find:

The point lies in the solution set of the given inequality.

Solution:

We have,

It can be written as:

All the points that satisfy the above inequality are in the solution set of the given inequality.

For example (0,0).

This statement is true. It means (0,0) is in the solution set.

For example (0,3).

This statement is false. It means (0,3) is not in the solution set.

The graph of the inequality is shown below.

All the points in the shaded region are in the solution set but the points on the boundary line are not in the solution set.

d 25 pi/6

step-by-step explanation:

the diameter is 10 inches

the radius is 1/2 of the diameter or 5 inches

the area of the circle is

a = pi r^2

  = pi 5^2

  = 25 pi

the slice is 60 degrees of the entire circle.

60 degrees out of 360   60/360 = 1/6

the area of the slice is 1/6 of the circle

a slice = 1/6 a circle

a slice = 1/6 * 25 pi