Answer
All real numbers are solutions.
The graph is shown below.
Work Step by Step
The given inequality is
$\Rightarrow 2(5c-7)\geq 10(c-3)$
Use distributive property.
$\Rightarrow 10c-14\geq 10c-30$
Add $30$ to each side.
$\Rightarrow 10c-14+30\geq 10c-30+30$
Simplify.
$\Rightarrow 10c+16\geq 10c$
Subtract $10c$ from each side.
$\Rightarrow 10c+16-10c\geq 10c-10c$
Simplify.
$\Rightarrow 16\geq 0$
The inequality is true.
Hence, all real numbers are solutions.
