Answer
The inequality has no solution.
Work Step by Step
The given inequality is
$\Rightarrow 2(5c-4)\geq 5(2c+8)$
Use distributive property.
$\Rightarrow 10c-8\geq 10c+16$
Subtract $10c$ from each side.
$\Rightarrow 10c-8-10c\geq 10c+16-10c$
Simplify.
$\Rightarrow -8\geq 16$
Add $8$ to each side.
$\Rightarrow -8+8\geq 16+8$
Simplify.
$\Rightarrow 0\geq 24$
False.
Hence, the inequality has no solution.
