Discussion of Question with ID = 244 under Inequalities

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Question

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

  1. $ means X = Y
  2. ¢ means X ≤ Y
  3. ∩ means X ≥ Y
  4. « means X < Y
  5. @ means X > Y

Statements: D « E; E « F; F $ G; G $ H;

Conclusions:

  1. H @ D
  2. D « G
  3. E « H

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 D < E < F = G = H.

The conclusions translate to:

  1. H > D(True)
  2. D < G(True)
  3. E < H(True)

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