**Problem Statement:**Is the following statement true or false?For every real number \( x \), \( |x^2| = |x|^2 \).**Instructions:**If the statement is true, enter TRUE below; if it is false, enter a value for \( x \) that could be used for a counterexample.[Input Box]

The statement in question proposes a connection between the floor function and real-number squares.…

Answered: Is the following statement true or…

Is the following statement true or false? For every real number x, [x2] = [x]2. If the statement is true, enter TRUE below; if it is false, enter a value for x that could be used for a counterexample

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Concept explainers

Control structures

Control structures are block of statements that analyze the value of variables and determine the flow of execution based on those values. When a program is running, the CPU executes the code line by line. After sometime, the program reaches the point where it has to make a decision on whether it has to go to another part of the code or repeat execution of certain part of the code. These results affect the flow of the program's code and these are called control structures.

Switch Statement

The switch statement is a key feature that is used by the programmers a lot in the world of programming and coding, as well as in information technology in general. The switch statement is a selection control mechanism that allows the variable value to change the order of the individual statements in the software execution via search.

Question

**Problem Statement:**

Is the following statement true or false?

For every real number \( x \), \( |x^2| = |x|^2 \).

**Instructions:**

If the statement is true, enter TRUE below; if it is false, enter a value for \( x \) that could be used for a counterexample.

[Input Box]

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Step 1: Exploring the Relationship Between the Floor Function and Squares of Real Numbers

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Step 2: The False Statement-[x²] = [x]² for Every Real Number x

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Step 3: Detailed Explanation with more examples

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