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Write R={(4x+3,1-x):xle2,xepsilonN}...

Write `R={(4x+3,1-x):xle2,xepsilonN}`

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To solve the problem, we need to write the relation \( R \) defined by the pairs \( (4x + 3, 1 - x) \) where \( x \) is a natural number and \( x \leq 2 \). ### Step-by-Step Solution: 1. **Identify the values of \( x \)**: Since \( x \) is a natural number and \( x \leq 2 \), the possible values for \( x \) are: \[ x = 1, 2 \] 2. **Calculate the pairs for each value of \( x \)**: - For \( x = 1 \): \[ (4x + 3, 1 - x) = (4(1) + 3, 1 - 1) = (4 + 3, 0) = (7, 0) \] - For \( x = 2 \): \[ (4x + 3, 1 - x) = (4(2) + 3, 1 - 2) = (8 + 3, -1) = (11, -1) \] 3. **Write the relation \( R \)**: Now, we can compile the pairs we calculated: \[ R = \{(7, 0), (11, -1)\} \] ### Final Answer: The relation \( R \) is: \[ R = \{(7, 0), (11, -1)\} \]

To solve the problem, we need to write the relation \( R \) defined by the pairs \( (4x + 3, 1 - x) \) where \( x \) is a natural number and \( x \leq 2 \). ### Step-by-Step Solution: 1. **Identify the values of \( x \)**: Since \( x \) is a natural number and \( x \leq 2 \), the possible values for \( x \) are: \[ x = 1, 2 ...
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