Solve the compound inequality

-1 < X - 2 LESS THAN OR EQUAL TO 7

Your problem:

-1 < x - 2 ≤ 7

Add 2 to all three quantities to get x by itself:

-1 + 2 < x - 2 + 2 ≤ 7 + 2

1 < x ≤ 9

Solution set can be expressed this way using interval notation:
(1, 9]

-1<x-2<=7

add 2

1<x<9

area of each layer. i want to know want is a layer.

(-4,0]

In order to determine the area of each layer, we need more information about the context or object you are referring to. Could you please provide additional details?

To understand what a layer refers to in the context of finding the area of each layer, we need more information about the specific problem or scenario you are referring to. The term "layer" can have different meanings depending on the context.

If you are referring to finding the area of each layer in a three-dimensional object or shape, such as a cake or a cylindrical container, a layer usually refers to a distinct horizontal section that can be measured and its area calculated separately. In this case, you would typically need to know the dimensions (such as radius or height) of the object in order to calculate the area of each layer.

If you are referring to finding the area of each layer in a two-dimensional design or pattern, the term "layer" could refer to different levels or sections within the design. In this case, you would need to have more information about the specific design or pattern in order to determine how to calculate the area of each layer.

Please provide more details or clarification about the specific problem or scenario you are referring to, and I will be happy to provide a more accurate explanation of what a layer represents and how to calculate its area.