Skip to main content
Ch. R - Algebra Review
Lial - Trigonometry 12th Edition
Lial12th EditionTrigonometryISBN: 9780136552161, 9780135440780, 9780136881117, 9780135440827, 9780135924891Non è quello che usi tu?Cambia libro di testo
Capitolo 1, Problema 73

Use a number line to determine whether each statement is true or false. -3 > -3

Guida verificata passo dopo passo
1
Understand the inequality: The statement is \(-3 > -3\), which means "-3 is greater than -3."
Recall the meaning of the 'greater than' symbol (>): It means the number on the left is strictly larger than the number on the right.
Visualize the number line: On a number line, numbers increase as you move to the right. Both numbers here are the same point at \(-3\).
Since both numbers are equal, \(-3\) is not greater than \(-3\); they are exactly equal.
Therefore, the statement \(-3 > -3\) is false because a number cannot be greater than itself.

Risposta video verificata per un problema simile:

Questa soluzione video è stata consigliata dai nostri tutor come utile per risolvere questo problema.
Durata del video:
1m

Concetti chiave

Ecco i concetti essenziali che devi comprendere per rispondere correttamente alla domanda.

Number Line and Ordering of Real Numbers

A number line visually represents real numbers in increasing order from left to right. Numbers to the right are greater than those to the left. Understanding this helps compare values, especially negative numbers, by their position on the line.
Video consigliato:
Percorso guidato
3:31
Introduction to Complex Numbers

Inequality Symbols and Their Meaning

Inequality symbols like '>' (greater than) and '<' (less than) express the relative size of two numbers. For example, 'a > b' means 'a' is strictly greater than 'b'. Recognizing that equality is not included in strict inequalities is crucial.
Video consigliato:
Percorso guidato
5:10
Finding the Domain and Range of a Graph

Properties of Negative Numbers

Negative numbers are less than zero and their order is reversed compared to positive numbers; for instance, -2 is greater than -3 because it is closer to zero. This concept is essential when comparing negative values on the number line.
Video consigliato:
Percorso guidato
5:02
Multiplying Complex Numbers