Answer
No solution.
The graph is shown below.
Work Step by Step
The given inequality is
$\Rightarrow 6(2t+9) \leq 12t-1$
Use distributive property.
$\Rightarrow 12t+54 \leq 12t-1$
Add $1$ to each side.
$\Rightarrow 12t+54 +1\leq 12t-1+1$
Simplify.
$\Rightarrow 12t+55\leq 12t$
Subtract $12t$ from each side.
$\Rightarrow 12t+55-12t\leq 12t-12t$
Simplify.
$\Rightarrow 55\leq 0$
The inequality is false.
Hence, the inequality has no solution.
