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Inequalities are mathematical expressions used to compare two values or quantities. They help us understand how one value relates to another. The symbols used in inequalities include:
- < (less than)
- > (greater than)
- ≤ (less than or equal to)
- ≥ (greater than or equal to)

In the exercise, we are dealing with the inequality symbol '<', which stands for 'less than.' This tells us that the value on the left side of the symbol should be smaller than the value on the right side. Understanding these basic symbols is the first step to mastering inequalities.

When comparing two numbers in an inequality, it's essential to carefully examine the values on each side of the inequality sign. For instance, in the inequality given in the exercise:

$$2 < 2$$

We have the number 2 on both sides. To determine if one number is less than, greater than, or equal to another, follow these steps:
- Identify each component (the numbers on both sides of the inequality).
- Understand the meaning of the inequality symbol.
- Compare the numbers directly.

In this example, both sides of the inequality are identical. Since 2 is neither less than nor greater than 2, the inequality is false. Comparing values directly like this is crucial for solving inequalities accurately.

Determining the truth value of an inequality means figuring out whether the statement is true or false. A truth value is either 'true' or 'false,' and for inequalities, this assessment hinges on the comparison you've made. In our given inequality:

$$2 < 2$$

We evaluated whether 2 is genuinely less than 2. As established, since both values are equal, the inequality does not hold true. Therefore, the statement is false.

Understanding truth values helps us decide the outcomes of inequalities and is fundamental in both solving equations and analyzing data. Always verify your comparison to decide if an inequality’s statement is correct.