Discussion of Question with ID = 214 under Inequalities

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Question

In a certain language different symbols represent different operators as follows.

  1. ω means X = Y
  2. ∩ means X ≤ Y
  3. ∑ means X ≥ Y
  4. λ means X < Y
  5. Δ means X > Y

Statements: T λ U; U λ V; V ω W; W ω X;

Conclusions:

  1. U λ X
  2. V ω X
  3. T λ V

Which of the above conclusions is/are true?

A

All.

B

both I and II.

C

II only.

D

both II and III.

Soln.
Ans: a

The statements can be translated to T < U < V = W = X.

The conclusions translate to:

  1. U < X(True)
  2. V = X(True)
  3. T < V(True)

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