Question:
The relation \( R \) defined on set \( A = \{x : |x|<3, x \in \mathbb{R} \} \) by \( R = \{(x, y): y = |x|\} \) is
The relation \( R \) defined on set \( A = \{x : |x|<3, x \in \mathbb{R} \} \) by \( R = \{(x, y): y = |x|\} \) is
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In relations involving absolute values, both positive and negative values of \( x \) yield the same \( y \) value.
Updated On: Jan 6, 2026
- \( \{(2, 2), (1, 1), (0, 0), (1, 1), (2, 2)\} \)
- \( \{(2, -2), (-2, -2), (1, 1), (0, 0), (1, -2)\} \)
- \( \{(0, 0), (1, 1), (2, 2)\} \)
- None of the above
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The Correct Option is A
Solution and Explanation
Step 1: Identifying the relation.
The relation is defined as \( y = |x| \), so each element of the set \( A \) corresponds to the absolute value of \( x \). The correct set corresponds to option (1).
Step 2: Conclusion.
The correct answer is option (1).
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