Question Details

Examine the given mathematical inequalities and analyze the logical relationship between the elements to answer the question that follows.

Statements:

A>MK<D=WF<R

Conclusions:

I. F>K

II. DA



Which of the following options correctly describes the validity of the conclusions?

Options

A

If either conclusion I or II is true

B

If only conclusion II is true

C

If only conclusion I is true

D

If both conclusions I and II are true

E

If neither conclusion I nor II is true

Show Answer

Correct Answer :

Option C

If only conclusion I is true

Solution :

The correct answer is If only conclusion I is true.

Given Statement:

A>MK<D=WF<R

Let's analyze each conclusion step-by-step:

Analyzing Conclusion I:

Conclusion I states: F>K

From the given statement, the relation between K and F is:

K<D=WF

Combining these relations, we get K<F, which is equivalent to F>K.
Therefore, Conclusion I is true.

Analyzing Conclusion II:

Conclusion II states: DA

From the given statement, the relationship between A and D is:

A>MK<D

Since the inequality symbols between A and D are in opposite directions (> and <), no definite relationship can be established between A and D.
Therefore, Conclusion II is false.

Hence, only conclusion I is true.

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