Algebra 1 · Inequalities

AND (Intersection)

Algebra 1 · Inequalities

Definition

AND (intersection) is a compound inequality true only where both inequalities are satisfied at once.

Teach it

Where it is taught, with guided notes, practice, homework, an exit ticket and an interactive Teacher Deck.

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.