To solve the inequality \(-2 - w > 6\), follow these steps:
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Add 2 to both sides to isolate the term with \(w\): \[ -w > 6 + 2 \] \[ -w > 8 \]
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Multiply both sides by -1. Remember that when you multiply or divide by a negative number, you must reverse the inequality sign: \[ w < -8 \]
So the solution is: \[ w < -8 \]