Question

4 justify and evaluate
how do you know your solution is reasonable?

course 1 · chapter 5 integers and the coordinate plane

Explanation:

For problems involving integers and the coordinate plane, a solution is reasonable if it aligns with the problem's integer/coordinate rules, can be verified with a second approach, and matches logical expectations for the scenario (like non-negative distances, correct sign for integer operations, or coordinates within the specified plane).

Answer:

To confirm a solution is reasonable for integer/coordinate plane problems:

1. Verify against problem constraints (e.g., integer values match the problem's context, coordinate points fit the given plane bounds).
2. Use a second method to check (e.g., re-calculate integer operations, plot coordinates a second time, or use estimation to see if the result falls in an expected range).
3. Cross-reference with logical sense (e.g., a distance between two points should be a non-negative integer, or a sum/difference of integers should follow sign rules).