Test
Inequalities and intervals
Dynamic tasks on linear and compound inequalities, intervals and integer solutions. Word problems check the meaning of “at least” and “at most”.
Time left: 00:00:00
Sample questions
- Solve the inequality: x + ___ > ___.
- Solve the inequality: ___x ≤ ___.
- Solve the inequality: −___x < ___.
- Which interval represents ___ < x ≤ ___?
- How many integers satisfy ___ < x < ___?
Inequalities and intervals
An inequality is solved similarly to an equation, but multiplying or dividing by a negative number reverses the inequality sign. Its solution is often an interval rather than a single number.
Boundaries
The symbols ≤ and ≥ include the boundary, while < and > exclude it. “At least” means ≥ and “at most” means ≤. Both conditions of a compound inequality must hold.
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