Mathematics
Mathematics
Problem
A quality check requires the length (in cm) of a metal rod to satisfy . (i) Determine the range of permissible values of . (ii) List all integer lengths that meet this requirement.Intuitive explanation
This problem is about solving compound inequalities—treating the double inequality as two constraints that must satisfy simultaneously. The key insight is to isolate by performing the same operations on all three parts: add 2, then divide by 2.5. Once you have the range, you'll identify which whole numbers fall within it.
Intuitive explanation
This problem is about solving compound inequalities—treating the double inequality as two constraints that must satisfy simultaneously. The key insight is to isolate by performing the same operations on all three parts: add 2, then divide by 2.5. Once you have the range, you'll identify which whole numbers fall within it.