Logical deduction – temperature comparisons across three days Given: Monday was lower than Tuesday. Wednesday was lower than Tuesday. Question: If those two facts are true, is the statement “Monday was higher than Wednesday” true, false, or uncertain?

Introduction / Context:
This question tests comparative reasoning with inequalities. Knowing two values are both below a third does not tell you their order relative to each other unless additional information is provided.

Given Data / Assumptions:

• Monday < Tuesday.
• Wednesday < Tuesday.
• Claim to evaluate: “Monday > Wednesday.”

Concept / Approach:
From A < C and B < C, nothing follows about A vs. B. Either A > B, A = B, or A < B could be true while still satisfying the premises.

Step-by-Step Solution:
1) Represent temperatures numerically: let Tuesday = 30.2) Pick Monday = 25 and Wednesday = 24 ⇒ Monday > Wednesday (conclusion true).3) Pick Monday = 24 and Wednesday = 25 ⇒ Monday < Wednesday (conclusion false).4) Both scenarios satisfy the premises; hence the conclusion cannot be determined.

Verification / Alternative check:
The uncertainty persists regardless of specific values so long as both days are below Tuesday.

Why Other Options Are Wrong:

• True or False: Each can be made to hold with different consistent assignments, so neither is forced.
• Both true and false: Not a valid single truth value; the correct label is “Uncertain.”

Common Pitfalls:
Assuming a default order between Monday and Wednesday because both are lower than Tuesday; that inference is invalid.

Final Answer:
Uncertain