Definition
Constraint
A constraint is a condition that every valid mathematical answer must satisfy.
Continue from this idea into connected AXIO math.
Defining relationship
Every constraint is a gate; a solution passes them all.
A constraint is a rule or condition that limits the values, objects, or arrangements allowed in a mathematical problem. A valid solution must satisfy every required constraint simultaneously.
- evensurvive: 2, 4, 6, 8, 10
- greater than 5survive: 6, 8, 10
- less than 10survive: 6, 8
Passes every gate: 6, 8
What it means
Each constraint removes choices that are not allowed. Start with all possible answers, then keep only the ones that pass every rule. More constraints usually leave fewer possibilities.
Remember it
Every constraint is a gate; a solution passes them all.
Example
Find a whole number less than 20 that is odd and divisible by 3. The constraints leave 3, 9, and 15; each is below 20, odd, and a multiple of 3.
Watch for
Meeting some constraints is not enough when the problem requires all of them.
Common mix-up
A constraint limits possible answers; it is not necessarily an equation.
Exact meaning
A constraint is a rule or condition that limits the values, objects, or arrangements allowed in a mathematical problem. A valid solution must satisfy every required constraint simultaneously.