Unions of Inequalities (Disjunctions)
🎯 Big Idea
A union of inequalities (also called a disjunction) combines two or more inequalities using the word "OR". A solution satisfies the union if it satisfies at least one of the individual inequalities.
📐 Formal Definition
Given two inequalities $A$ and $B$, the disjunction is written as:
$A \;\;\textbf{OR}\;\; B$
The solution set is the union of the individual solution sets:
$\text{Solution} = \{x \mid x \in A\} \cup \{x \mid x \in B\}$
The symbol $\cup$ means "union" — we combine all values that work in either inequality (or both).