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A mathematical expression is essentially a combination of numbers, variables, operators (such as addition and subtraction), and sometimes more complex components like functions and exponents. It's like a mathematical statement that doesn't include an equal sign and therefore doesn't form a full equation. Rather, it represents a value or relationship.
For example, in the given exercise, the expression is \( c - 1 \). Here, \( c \) is a variable, and \(-1\) is a constant. Together, they make up an expression being evaluated for different values of \( c \).
Expressions can range from very simple, like \( x+2 \), to highly complex with multiple terms and operations. Understanding how to work with these expressions forms the basis for tackling various mathematical problems and is crucial for mastering more advanced concepts like inequalities and equations.

Inequalities embody a crucial part of mathematics where we compare two values or expressions. They are characterized by special symbols that denote specific types of relationships:

• \( > \): Greater than
• \( < \): Less than
• \( \geq \): Greater than or equal to
• \( \leq \): Less than or equal to

When you see the phrase 'less than or equal to' in a problem, it signals that you would use the \( \leq \) inequality symbol. It bows to flexibility: the values on either side can indeed be equal, or the left side can be somewhat less.
The ability to use these symbols accurately allows for precise mathematical communication and understanding. In the context of the provided solution, recognizing 'less than or equal to' directed us to the use of \( \leq \) to translate the statement into an inequality.

Translating word phrases into mathematical symbols is a pivotal skill in math. It involves understanding the meaning behind phrases and then representing these meanings in a compact and universally understood format: symbols.
Consider phrases like 'is more than', 'is less than', and 'is equal to'. These are cues that guide you in choosing the right mathematical symbol (\( > \), \( < \), and \( = \), respectively).
In the problem at hand, 'is less than or equal to' is the key phrase. Translating it means selecting the correct inequality symbol, which is \( \leq \). By replacing the words with symbols, we condense the problem into a simpler, more workable mathematical statement. This translation process transforms complex verbal statements into immediate, action-ready mathematical expressions, helping you to solve and understand the math at hand more effectively.