To solve the inequality \( 7 \leq -1 - m \), we can start by isolating \( m \).
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Add 1 to both sides: \[ 7 + 1 \leq -m \] This simplifies to: \[ 8 \leq -m \]
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Multiply both sides by -1. Remember, when you multiply or divide an inequality by a negative number, you need to reverse the inequality sign: \[ -8 \geq m \]
This can also be expressed as: \[ m \leq -8 \]
Thus, the solution for \( m \) is: \[ m \leq -8 \]