Rewrite each statement with \u003e so that it uses . -5 \u003e -100

Understand that the inequality symbol can be reversed by swapping the sides of the inequality. For example, if you have $$a \u003e b$$, you can rewrite it as $$b -100. $$This means that $$-5 is $$greater than $$-100. To $$rewrite this inequality using the symbol $$ -100 is $$equivalent to $$-100 \u003c -5$$ when rewritten with the $$\u003c$$ symbol.

Ch. R - Algebra Review

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Lial 12th Edition

Ch. R - Algebra Review

Problema 79

Capitolo 1, Problema 79

Rewrite each statement with > so that it uses < instead. Rewrite each statement with < so that it uses >. -5 > -100

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Understand that the inequality symbol can be reversed by swapping the sides of the inequality. For example, if you have $a > b$, you can rewrite it as $b < a$.

Look at the given inequality: $-5 > -100$. This means that $-5$ is greater than $-100$.

To rewrite this inequality using the symbol $<$, swap the two sides and change the symbol accordingly: $-100 < -5$.

Check the rewritten inequality to ensure it makes sense on the number line: since $-100$ is less than $-5$, the inequality $-100 < -5$ is correct.

Thus, the original inequality $-5 > -100$ is equivalent to $-100 < -5$ when rewritten with the $<$ symbol.

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Inequality Symbols and Their Meaning

Inequality symbols like > (greater than) and < (less than) compare two values, indicating which is larger or smaller. Understanding these symbols is essential to correctly interpret and rewrite inequalities by reversing the direction of comparison.

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Finding the Domain and Range of a Graph

Reversing Inequalities

When rewriting inequalities, changing a 'greater than' (>) to a 'less than' (<) symbol involves flipping the inequality sign while keeping the values in the same order. This concept helps in expressing the same relationship from a different perspective.

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Finding the Domain and Range of a Graph

Number Line and Negative Numbers

Understanding the position of negative numbers on the number line is crucial, as it affects the truth of inequalities. For example, -5 is greater than -100 because it lies to the right on the number line, which helps in correctly rewriting inequalities involving negatives.

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