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------------------------------------------------ 1. Consider the following mathematical expressions:

[tex] 57 = 52 + 5 [/tex]
[tex] 52 - 57 = -5 [/tex]
[tex] 57 - 52 = 5 [/tex]

2. Verify the multiplication and division:

[tex] 19 \cdot 3 = 57 [/tex]
[tex] 57 \div 3 = 19 [/tex]
[tex] 57 \div 19 = 3 [/tex]

Certainly! Let's break down the solution step-by-step:

1. Checking the Addition Expression:
- The expression `57 = 52 + 5` checks whether adding 52 and 5 gives 57.
- By adding the numbers: [tex]\(52 + 5 = 57\)[/tex].
- This statement is true.

2. Checking the Subtraction Expression:
- The expression `57 - 52 = 5` checks whether subtracting 52 from 57 gives 5.
- By performing the subtraction: [tex]\(57 - 52 = 5\)[/tex].
- This statement is also true.

3. Evaluating the Multiplication:
- The expression `19 * 3 = 57` states that multiplying 19 by 3 results in 57.
- Calculating the multiplication: [tex]\(19 \times 3 = 57\)[/tex].
- This statement is correct.

4. Evaluating the First Division:
- The expression `57 : 3 = 19` checks whether dividing 57 by 3 gives 19.
- By performing the division: [tex]\(57 \div 3 = 19\)[/tex].
- This statement is accurate.

5. Evaluating the Second Division:
- The expression `57 : 19 = 3` checks if dividing 57 by 19 gives 3.
- Carrying out this division: [tex]\(57 \div 19 = 3\)[/tex].
- This statement is also correct.

In conclusion, each mathematical expression is verified to be true based on performing the appropriate operations.