Subjects algebra

Inequality Greater A0456C

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1. The problem is to understand the inequality symbol \textgreater{} and how it affects expressions. 2. The symbol \textgreater{} means "greater than". For example, $a > b$ means $a$ is greater than $b$. 3. When solving inequalities with \textgreater{}, the solution set includes all values that make the left side larger than the right side. 4. If you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality sign. 5. For example, if $x > 3$, then $x$ can be any number greater than 3, such as 4, 5, or 10. 6. If you have an inequality like $2x > 6$, divide both sides by 2: $$\frac{\cancel{2}x}{\cancel{2}} > \frac{6}{2}$$ which simplifies to $$x > 3$$ 7. This means $x$ must be greater than 3 to satisfy the inequality. This explanation covers the meaning and basic rules of the \textgreater{} inequality symbol.