Algebra / Linear Inequalities
Context-based inequality constraints
Words such as at most, at least, minimum, maximum, and budget indicate inequality direction. Integer contexts may require rounding up or down.
Least you need to know
- At most means $\le$.
- At least means $\ge$.
- A greatest whole number under a limit is found by rounding down.
Key notation
- m — A context variable, such as miles or minutes
Worked example
A $6 fee plus $2 per item with at most $20 available gives $6+2x\le 20$, so $x\le 7$.
Common mistakes
- Rounding must preserve the context.
- The setup fee should be included before solving.
How to recognize it
- The stem includes a budget, capacity, minimum, or greatest/least whole number.
Volgende aanbevolen les
Ga verder met dit onderwerp via Inequality Traps and Integer Boundaries.
Inequality Traps and Integer BoundariesGerelateerde lessen
Ga verder met nabijgelegen lessen in hetzelfde onderwerp.