What is the difference between () and [] in math?

Title: Demystifying Symbols: Understanding the Difference Between () and [] in Math

Introduction: In mathematical notation, parentheses () and brackets [] serve distinct purposes. Let's explore their differences to enhance your understanding.

1. Parentheses ():

• Enclosure for Expressions: Parentheses are used to group and prioritize expressions within mathematical equations.
• Example: (2 + 3) × 4 signifies that the sum of 2 and 3 should be calculated first before multiplying by 4.

2. Brackets []:

• Indicating Inclusive Ranges: Brackets often denote inclusive ranges, particularly in interval notation.
• Example: [1, 5] represents the inclusive range from 1 to 5, including both endpoints.

3. Functionality in Equations:

• Dynamic Functions: Parentheses are commonly associated with functions, indicating where the input values should be placed.

• Example: f(x) = 2x means the function f is dependent on x, and the input value goes inside the parentheses.

• Array Notation: Brackets are used to represent arrays or matrices in mathematical expressions.

• Example: A = [1 2 3] signifies a row vector with elements 1, 2, and 3.

4. Importance of Placement:

• Altering Significance: The placement of parentheses or brackets can alter the significance of an expression.
• Example: 2 × (3 + 4) differs from 2 × 3 + 4. The first involves adding before multiplying, while the second multiplies first.

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