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Inequalities are mathematical statements that compare two values. These comparisons utilize symbols like \( > \) (greater than), \( < \) (less than), and \( = \) (equal to). Understanding how to read and write inequalities is crucial in many areas of math.

For instance, in the exercise provided, you are asked to fill in the appropriate symbol between two mathematical expressions. You need to determine if the left side is less than, greater than, or equal to the right side.

To solve inequalities effectively, follow these steps:

• Simplify each side of the inequality if necessary.
• Compare the simplified results.
• Choose the correct inequality symbol based on your comparison.

In the example 16_____12 + 4, we simplified the right side to 16 and compared it to the left side, 16. Since they are equal, the correct symbol is \ (=) .

Simplification is the process of making a mathematical expression easier to understand or solve. This often involves performing basic operations such as addition, subtraction, multiplication, and division.

Let's look at our exercise: 16_____12 + 4. To find the solution, we had to simplify the right side of the expression first.

Step-by-step simplification process:

• Identify the operation that needs to be performed: 12 + 4.
• Perform the operation: 12 + 4 = 16.

Simplifying the expressions before comparing them always helps in avoiding potential errors. It is important to keep the equation balanced and ensure all operations are correctly performed.

In our case, after simplification, both sides equal 16, which simplifies the comparison process.

Comparing numbers is a fundamental skill in algebra. It helps to determine the relationship between two values. When comparing numbers, we use \( > \) for greater than, \( < \) for less than, and \( = \) for equal to.

In the exercise 16_____12 + 4, the comparison was straightforward once we simplified the right side to 16. We then had: 16 compared to 16.

Here's how to compare effectively:

• Verify both numbers are in their simplest form.
• Put the numbers side by side to see if one is larger or smaller, or if they are the same.

For example, if you have 10 and 15, it is clear that 10 \( < \) 15. But if you have 10 and 10, then 10 \( = \) 10.

With the exercise given, once both sides were simplified to 16, it was clear they were equal, so we used the \ (=) symbol. By following these steps, you can easily compare any set of numbers in algebra.