Problem 36 Decide if each statement is true... [FREE SOLUTION]

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Chapter 1: Problem 36

Decide if each statement is true or false. $$10.8 \geq 10.2$$

Short Answer

Expert verified

The statement $10.8 \geq 10.2$ is true because 10.8 is greater than 10.2.

Step by step solution

Comparing Numbers

We have the inequality statement $10.8 \geq 10.2$. We need to compare the numbers 10.8 and 10.2.

Comparison Result

Since 10.8 is greater than 10.2, the statement $10.8 \geq 10.2$ is true.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Comparison of numbers

When we need to decide if one number is greater than another, we are engaging in the process of comparison. This involves looking at the values of two numbers to see which one is larger. Think of it as a simple number line: the further right a number is, the greater its value.
For the numbers 10.8 and 10.2, place them on this imaginary number line:

10.2 comes before 10.8, meaning it is a smaller number.
10.8 comes after 10.2, which makes it larger.

By arranging numbers in order from smallest to largest, you easily see which is greater. In our example, 10.8 is greater than 10.2. This justifies that the number on the right (10.8) is greater.

True or false statements

The goal here is to determine if statements are accurate or not. True or false statements help us verify the validity of an expression. It鈥檚 like a quick check: does this make sense or not?
In mathematics, when you see an inequality, you are asked to decide whether it holds true. For the statement $10.8 \geq 10.2$, let's break down what's being asked:

"Is 10.8 greater than 10.2?"
"Is 10.8 equal to 10.2?"

If either question has a yes answer, the statement is true. Comparing 10.8 to 10.2, we find 10.8 is indeed greater, confirming the statement is true.

Greater than or equal to

Understanding the symbol $\geq$ is crucial in comparing numbers. The symbol combines two ideas: greater than ($>$) and equal to ($=$). This means when you see $a \geq b$, you鈥檙e reviewing:

Is $a$ greater than $b$?
Or is $a$ equal to $b$?

In the case $10.8 \geq 10.2$, we're primarily concerned with whether 10.8 is greater than 10.2. Since it is greater, the inequality holds true.
It's important to remember that $\geq$ not only involves numbers that are strictly greater but also those that could be the same. Therefore, if two numbers were equal, the $\geq$ symbol would still denote a true statement.

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91影视

Decide if each statement is true or false. $$10.8 \geq 10.2$$

Short Answer

Step by step solution

Comparing Numbers

Comparison Result

Key Concepts

Comparison of numbers

True or false statements

Greater than or equal to

One App. One Place for Learning.

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