Problem 54 - Basic College Mathematics

Question

Use \(<\) or \(>\) for \(\square\) to write a true sentence. $$ 34 \square 43 $$

Step-by-Step Solution

Answer

34 < 43

Step 1: Identify Numbers

Identify the numbers on either side of the square. In this case, the numbers are 34 and 43.

Step 2: Compare the Numbers

Compare the numbers to determine their relative sizes. Notice that 34 is less than 43.

Step 3: Determine the Correct Symbol

Since 34 is less than 43, use the symbols accordingly. In this case, use '<' to make the sentence true.

Step 4: Write the True Sentence

Write the true sentence by replacing the square with the correct symbol. The true sentence is: 34 < 43.

Key Concepts

less than

In mathematics, the symbol for 'less than' is '<'. This symbol is used to compare two numbers or quantities. If a number on the left is smaller than the number on the right, we use '<'. For instance, if we have 34 and 43, we can say 34 < 43 because 34 is indeed smaller than 43. It is important to understand that the open side of the '<' symbol always points towards the smaller number.
This concept is essential for understanding number comparisons and is used frequently in various math problems. Practice comparing numbers using this symbol to become comfortable with the idea of 'less than'.

greater than

The 'greater than' symbol in mathematics is '>'. It is used when a number on the left side is larger than the number on the right side. For example, if you have 43 and 34, you would write 43 > 34 because 43 is greater than 34. The open side of the '>' symbol always faces the larger number.
This symbol is crucial for comparing values, and understanding its use will help you in solving many types of math problems. By practicing comparing different numbers, you'll get better at identifying when to use the '>' symbol properly.

mathematical symbols

Mathematical symbols are the building blocks of math language. They help us express complex ideas in a simple and concise manner. Here are some common symbols you will encounter:

• < Less than
• > Greater than
• = Equal to

The use of these symbols makes it easier to understand and solve mathematical problems. Each symbol has a distinct meaning and function.
For instance, the '<' symbol means the number on the left is smaller than the number on the right. The '>' symbol means the number on the left is larger. The '=' symbol denotes that both numbers are equal. Learning these symbols will be very useful in all areas of mathematics.