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Chapter 1: Problem 45

Fill in the appropriate ordering symbol: either \(<,>,\) or \(=\). 19_____24 - 10.

Short Answer

Expert verified
19 > 14

Step by step solution

01

- Evaluate the Right Side

Calculate the value of the expression on the right side of the inequality: 24 - 10.
02

- Simplify the Expression

Subtract 10 from 24 to get the result: 24 - 10 = 14.
03

- Compare the Numbers

Compare the number 19 with the result obtained in Step 2: 19 and 14.
04

- Use the Appropriate Symbol

Since 19 is greater than 14, use the '>' symbol: 19 > 14.

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Key Concepts

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

comparison of numbers
To compare numbers, you need to understand which number is larger or smaller. This involves looking at the values and determining their relationship.
Sometimes, you might compare simple numbers, and other times, they might be part of larger problems, like in our example.
When comparing numbers:
  • If the first number is bigger, we use '>'
  • If the first number is smaller, we use '<'
  • If both numbers are the same, we use '='
Compare carefully to identify these relationships correctly.
Let's see an example: In the exercise, we compared 19 and 14. Since 19 is larger than 14, we used '>'.
inequality symbols
Inequality symbols are used to express the relationship between two numbers or expressions.
These symbols include:
  • '>' symbol: indicates 'greater than'
  • '<' symbol: indicates 'less than'
  • '=' symbol: indicates 'equal to'
Understanding these symbols is crucial for solving problems that require comparison.
For example: Given 19 and 24-10 (which simplifies to 14), you determine their relationship using these symbols. Here, 19 is greater than 14, so you use '>'.
basic arithmetic operations
Basic arithmetic operations include addition, subtraction, multiplication, and division.
In the given exercise, subtraction is used.
Let's go step-by-step:
  • First, look at the operation: 24 - 10.
  • Second, perform subtraction: 24 minus 10 equals 14.
Once we perform the arithmetic operation, the next step involves comparing 19 (the left side) with 14 (the result on the right side).
In this exercise, subtraction was key to simplifying the right side before comparison.

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Most popular questions from this chapter

At the beginning of the month Carla's checking account had a balance of \(\$ 643.47,\) while at the end of the month the balance was \(-\$ 82.94 .\) If she made no deposits during this month, what was the total of the checks that Carla wrote during this month?

If possible, list three numbers that are members and three numbers that are not members of the given set. If it is not possible, explain why. \(\\{x | x \text { is a real number but not an integer }\\}\)

Compute the given expression. Round off your answer to two decimal places where necessary. $$28.7-32.56-18.61$$

Sketch the given set on a number line. $$\\{x | 1 \leq x<3\\}$$

In Exercises \(73-84\), evaluate the given expression. $$9-(5 \cdot 4-2)$$
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