Practice Constraints (Meta) in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
Constraints are conditions, rules, or boundaries that restrict which values or solutions are allowed in a mathematical problem, narrowing an infinite space of possibilities to a manageable set.
The rules of the game. What must be true? What can't happen?
Example 1
easySolve \frac{1}{x-2} = 3 and identify all constraints on x before solving.
Example 2
mediumAn integer n satisfies two constraints: n > 0 and n < 10, and also n is prime. List all valid values of n.
Example 3
easyState the domain constraint for f(x) = \sqrt{x - 4} and solve for x when f(x) = 3.
Example 4
mediumA rectangle has area 36 cm² and integer side lengths. List all constraints and find all valid dimension pairs (l, w) with l \ge w.