Reading number lines
Write the inequality shown by each number line. Watch for open and closed circles.
Practice questions
Matching diagrams
Pick the number line that matches the inequality.
Practice questions
Solving — one-step
Solve just like an equation: whatever you do to one side, do to the other.
Practice questions
Solving — two-step
Undo addition or subtraction first, then multiplication or division.
Practice questions
Challenge questions
Negative coefficients, double inequalities and unknowns on both sides
Word problems
Real-life contexts — form an inequality and solve it
Key rules
Open circle (○) means the value is not included: use \(\lt\) or \(\gt\).
Closed circle (●) means the value is included: use \(\le\) or \(\ge\).
Solving: treat it like an equation — whatever you do to one side, do to the other.
The flip rule: if you multiply or divide both sides by a negative number, the inequality sign flips direction.
Double inequalities: do the same thing to all three parts.