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This math video tutorial gives a step by step explanation to a math problem on "Inequalities Involving Absolute Value".

The absolute value of a real number is its numerical value without regard to its sign. So, for example, 3 is the absolute value of both 3 and −3.

The absolute value is closely related to the notions of magnitude, distance, and norm in various mathematical and physical contexts.

Absolute value of a number is the distance from the number on the number line to zero

Example:

|-7| = 7

| 7 | = 7

In mathematics, an inequality is a statement about the relative size or order of two objects, or about whether they are the same or not.

The notation a < b means that a is less than b.
The notation a > b means that a is greater than b.
The notation a ≠ b means that a is not equal to b, but does not say that one is greater than the other or even that they can be compared in size.

In each statement above, a is not equal to b. These relations are known as strict inequalities. The notation a < b may also be read as "a is strictly less than b". In contrast to strict inequalities, there are two types of inequality statements that are not strict:

The notation a ≤ b means that a is less than or equal to b (or, equivalently, not greater than b)
The notation a ≥ b means that a is greater than or equal to b (or, equivalently, not smaller than b)

How many legs in total do two chickens, two ducks,and two sheep have?