If $x, y ∈R$ then match List-I with List-II

Choose the correct answer from the options given below:

(A)-(III), (B)-(I), (C)-(II), (D)-(IV)

The correct answer is Option (2) → (A)-(III), (B)-(I), (C)-(II), (D)-(IV)

Given:

(A) |x| < |y|

Property: |x| < |y| iff x² < y² → (A) matches (III)

(B) |x| > |y|

Property: |x| > |y| iff x² > y² → (B) matches (I)

(C) |x| ≤ |y|

Property: |x| ≤ |y| iff x² ≤ y² → (C) matches (II)

(D) |x| ≥ |y|

Property: |x| ≥ |y| iff x² ≥ y² → (D) matches (IV)