Practice Constraint System in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
A collection of equations and inequalities that must ALL be satisfied simultaneously by the same set of variable values.
Multiple conditions at once: 'x > 0 AND x + y = 10 AND y \leq 6.'
Example 1
mediumFind all values of (x, y) satisfying x + y = 10, x \geq 0, and y \geq 0.
Example 2
hardA shop sells notebooks for \3 and pens for \1. You have \$12 and want at least 2 notebooks. How many pens can you buy?
Example 3
easyList the integer solutions of x + y = 5 with x \geq 1 and y \geq 1.
Example 4
mediumIs (3, 4) in the feasible region of x + y \leq 8 and x \geq 2?