Classification – Ordered pairs (linear rule): choose the odd one out. In three pairs the mapping is y = 2x − 2; one pair does not follow this rule. Which pair is different? Options: 22 : 42, 4 : 6, 11 : 20, 5 : 14.

Introduction / Context:Another common pattern is a simple linear function linking pair members. We test y = 2x − 2 across all given pairs to locate the exception.

Given Data / Assumptions:

• Candidate rule: y = 2x − 2.
• Pairs: (22,42), (4,6), (11,20), (5,14).

Concept / Approach:Compute 2x − 2 and compare with the listed y.

Step-by-Step Solution:x=22 → 44−2=42 → matches.x=4 → 8−2=6 → matches.x=11 → 22−2=20 → matches.x=5 → 10−2=8 ≠ 14 → violation.

Verification / Alternative check:Try solving for x from y: for y=14, (y+2)/2 = 8; that implies x=8 if the rule held, not x=5.

Why Other Options Are Wrong:22:42, 4:6, 11:20: Each satisfies y = 2x − 2.

Common Pitfalls:Assuming a different constant term that would not fit all three matching pairs simultaneously.

Final Answer:5 : 14