VidaaraPlay
Door 6 · Grade 7

🧩 Inequalities (One Variable)

Open circle = (value not included)

▶ Play Door 6

Solving & Graphing Inequalities

Inequalities compare expressions using symbols instead of an equals sign.
SymbolMeaningGraph (circle type)<less thanopen circle (not included)>greater thanopen circle (not included)less than or equal toclosed circle (included)greater than or equal toclosed circle (included)Critical Rule: When you multiply or divide both sides by a negative number, you must reverse (flip) the inequality sign!
Example: -2x < 10 => divide by -2, flip sign => x > -5

Worked example

Problem: Solve: x + 5 > 12 and graph.

  1. x > 7.
  2. Open circle at 7, shade to the right.

Answer: Open circle at 7, shade to the right.