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.
Inequality Greater A0456C
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