Inequalities

Pass Check: Inequalities

Inequalities compare expressions using <, >, ≤ or ≥ instead of an equals sign.

4 definitions3 to memorise3 common mistakes5 exam questions8-question quiz

Inequality

A statement comparing two expressions using <, >, ≤ or ≥.

Strict inequality

An inequality using < or > (does not include equal values), shown with an open circle on a number line.

Inclusive inequality

An inequality using ≤ or ≥ (includes equal values), shown with a closed circle on a number line.

Integer solution

A whole number that satisfies an inequality.

Quick check

Mixed quiz

1. Solve the inequality 6x + 7 < 34.

2. Which region satisfies BOTH y ≥ x + 1 and y ≤ 4?

3. Which line style should be used to graph y ≤ 2x + 1?

4. Solve 3 - 2x >= 2 and represent the solution.

5. Which number line description matches -2 < x ≤ 3?

6. Which symbol means 'greater than or equal to'?

7. On a number line, an open circle at 4 pointing right represents which inequality?

8. Solve the inequality 3x + 4 < 19.