Question

Symbols >, U, I and * mean the following: A>B means A is 3 times of B. AUB means B is 3 times of A. A/B means A is less than B. A+B means A is equal to B. Using these symbols and taking the given statements as true, find out that which of the given conclusions is/are definitely true? Statements: H> I, JUT and J/K Conclusions: 1. I/K I. H> 3​

Answer 1

Answer:

is

A

If only conclusions I is true

M ⊂ P ⇒ M = P

S $ T ⇒ S > T

M @ T ⇒ M ≥ T

∴ P = M ≥ T < S

Conclusion

I. T



= P ⇒ T≤ P -

II. S ⊃ T ⇒ S < T -

Answer 2

Answer:

According to given question, we got some cases on the relations between different variables that are given in the question. We'll be analyzing the statements first, that too deeply.

Explanation:

So, according to the question, we have some relations that are as follows:

• A>B means A is 3 times of B. It means A is equal to thrice of B or A = 3B.
• A∪B means B is 3 times of A. It implies B is thrice of A or B = 3A.
• A/B means A is less than B. It means that value of A is small in comparison to value of B or A<B.
• A+B means A is equal to B. It implies that value of A is equal to value of B or A = B.

Now, analyzing the statements, we have:

• H>I, it means that H is equal to thrice of I or H = 3I.
• J∪T, it means that T is equal to thrice J or T = 3J.
• J/K, it implies J is less than K or J < K.

Now, according to the conclusions given, first we have I/K. This implies that I<K. It can only happen when I = J or I < J.

For the second statement, it is incomplete. Still we can make out some conclusions. If the first conclusion is true, then the second will become H/3>J or H>3J.