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A ={p:p in W " and " 2p-3 lt 8}...

`A ={p:p in W " and " 2p-3 lt 8}`

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To solve the problem, we need to find the set \( A \) which contains all whole numbers \( p \) such that \( 2p - 3 < 8 \). ### Step-by-Step Solution: 1. **Start with the inequality**: \[ 2p - 3 < 8 \] 2. **Add 3 to both sides**: \[ 2p - 3 + 3 < 8 + 3 \] This simplifies to: \[ 2p < 11 \] 3. **Divide both sides by 2**: \[ \frac{2p}{2} < \frac{11}{2} \] This simplifies to: \[ p < 5.5 \] 4. **Identify whole numbers less than 5.5**: The whole numbers that are less than 5.5 are: \[ 0, 1, 2, 3, 4, 5 \] 5. **Write the set \( A \)**: Therefore, the set \( A \) can be expressed as: \[ A = \{0, 1, 2, 3, 4, 5\} \] ### Final Answer: \[ A = \{0, 1, 2, 3, 4, 5\} \]
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