what are three important thing for an evaluating and inequalities and abs. values

please and thank you

When evaluating inequalities and absolute values, there are three important considerations to keep in mind:

1. Understanding the rules of inequalities and absolute values:
- For inequalities, it is crucial to remember the rules for comparing numbers, such as greater-than, less-than, greater-than-or-equal-to, and less-than-or-equal-to.
- For absolute values, recall that the absolute value of a number is its distance from zero on the number line. Thus, it is always a non-negative value.

2. Recognizing the properties and operations applied to inequalities and absolute values:
- Inequalities can be manipulated using various arithmetic operations, such as addition, subtraction, multiplication, and division. However, it is important to remember that multiplying or dividing by a negative number changes the direction of the inequality.
- Absolute values can be simplified by applying the rules of operations within the absolute value brackets, such as removing negative signs or simplifying expressions.

3. Applying and solving the inequalities and absolute value equations:
- When solving inequalities or absolute value equations, use the above rules and the concept of isolating the variable. Move the variables and constants to one side of the inequality or equation and perform the appropriate operations to isolate the variable on one side.
- Remember to maintain the direction of the inequality when performing operations and to consider both the positive and negative solutions for absolute value equations.

By understanding the rules, recognizing the properties and operations, and effectively applying and solving the inequalities and absolute value equations, you will be better equipped to evaluate them successfully.