Question

Based on the given statement, two conclusions are drawn. Find out which conclusion is true based on the statement.

Statement: C < D, E ≥ B, B > D

Conclusions:

1. B > C

2. E < D

• A. Both conclusions 1 and 2 are true
• B. Only conclusion 1 is true
• C. Neither conclusion 1 nor 2 is true
• D. Only conclusion 2 is true

Answer 1

Answer:

B. Only conclusion 1 is true

Conclusion 1 (B > C) is true, while Conclusion 2 (E < D) is false.

First, combine the separate parts of the statement into a continuous chain:

• We have: E ≥ B, B > D, and C < D (which is the same as D > C).

• Combined Chain: E ≥ B > D > C

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Evaluation of Conclusions:

• 1. B > C (True): Looking at the combined chain B > D > C, the inequality symbols point consistently in the same direction, showing that B is definitely strictly greater than C.

• 2. E < D (False): Looking at the chain E ≥ B > D, it is clear that E is strictly greater than D (E > D). Therefore, E < D is completely incorrect.