# Discussion of Question with ID = 178 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. Δ means X < Y
5. Γ means X > Y

Statements: B ∀ C; C ∀ D; D ∧ E;

Conclusions:

1. B Γ E
2. D Γ B
A

both I and II are true.

B

only conclusion II is true.

C

only conclusion I is true.

D

neither I nor II is true.

Soln.
Ans: d

The statements can be translated to B = C = D ≤ E. Conclusion I translates to B > E. Conclusion II translates to D > B. So we can see that neither I nor II is true.

Please remember that in such questions ≯ (not more than) is same as ≤, and ≮ (not less than) is same as ≥.