Step 1 :\(\frac{40 t+8}{t+4} \geq 20\)
Step 2 :Multiply both sides by \((t+4)\) to get \(40 t+8 \geq 20(t+4)\)
Step 3 :Simplify to get \(40 t+8 \geq 20t+80\)
Step 4 :Subtract \(20t\) from both sides to get \(20t+8 \geq 80\)
Step 5 :Subtract 8 from both sides to get \(20t \geq 72\)
Step 6 :Divide both sides by 20 to get \(t \geq 3.6\)
Step 7 :\(\boxed{t \geq 3.6}\)