To solve the inequality \( c - 5 \leq 6 \), we first isolate \( c \):
- Add 5 to both sides of the inequality: \[ c - 5 + 5 \leq 6 + 5 \] This simplifies to: \[ c \leq 11 \]
Now we can evaluate the options given:
- \( c \leq 1 \) (False, since \( c \) can be greater than 1)
- \( c \leq -30 \) (False, as \( c \) could be much larger)
- \( c \leq 11 \) (True, as it matches our solution)
- \( c \leq -11 \) (False, as \( c \) could be larger)
The correct solution is: \[ c \leq 11 \]