Discussion of Question with ID = 159 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. µ means X > Y

Statements: G £ H; H £ I; I ∅ J; J £ K;

Conclusions:

  1. J µ G
  2. G £ I
  3. I £ K

Which of the above conclusions is/are true?

A

both I and II.

B

I only.

C

II only.

D

III only.

Soln.
Ans: a

The statements can be translated to G = H = I < J = K.

The conclusions translate to:

  1. J > G(True)
  2. G = I(True)
  3. I = K(False)

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