Algebra 1 · Inequalities
AND (Intersection)
Algebra 1 · Inequalities
Definition
AND (intersection) is a compound inequality true only where both inequalities are satisfied at once.
Examples
- x > 1 AND x < 5 gives 1 < x < 5.
- x ≥ −2 AND x ≤ 3 gives −2 ≤ x ≤ 3.
Key rule
The solution is the overlap where both parts are true.
Memory hook
AND = the overlap; only the shared middle survives.