#### Answer

All real numbers are solutions.
The graph is shown below.

#### Work Step by Step

The given inequality is
$\Rightarrow 4p+3\geq 2(2p+1)$
Use distributive property.
$\Rightarrow 4p+3\geq 4p+2$
Subtract $2$ from each side.
$\Rightarrow 4p+3-2\geq 4p+2-2$
Simplify.
$\Rightarrow 4p+1\geq 4p$
Subtract $4p$ from each side.
$\Rightarrow 4p+1-4p\geq 4p-4p$
Simplify.
$\Rightarrow 1\geq 0$
The inequality is true.
Hence, all real numbers are solutions.