7th Grade · Expressions & Equations

Solution Set

7.EE.B.4b

Definition

The set of all values that satisfy an inequality. Shown on a number line with a circle (open or closed) at the boundary and shading in the direction of solutions.

Teach it

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

Examples

  • x > 3 has infinitely many solutions: 3.1, 3.5, 4, 10, 100...
  • An equation like 2x = 6 has one solution (x = 3); the inequality 2x > 6 has infinite solutions (x>3).

Key rule

Use a number line to show the solution set of an inequality.

Memory hook

Not one answer — a whole range of them.