To represent the situation with an inequality, we first need to calculate the total cost of the T-shirts for all 8 members of the band.
If \( t \) is the cost of one shirt, then the total cost for 8 shirts would be \( 8t \).
The band wants to spend no more than $136, which means the total cost should be less than or equal to $136. This gives us the inequality:
\[ 8t \leq 136 \]
Thus, the solution of the inequality representing their situation is:
\[ t \text{ such that } 8t \leq 136 \]