To solve the inequality \( 6 \geq -1 - z \), we can follow these steps:
-
Add 1 to both sides:
\[ 6 + 1 \geq -z \] This simplifies to: \[ 7 \geq -z \]
-
Multiply both sides by -1 (remember to flip the inequality sign):
\[ -7 \leq z \] which can also be written as: \[ z \geq -7 \]
So, the solution is:
\[ z \geq -7 \]