Answer
$x\ge3$
Work Step by Step
Using the properties of inequalities, the solution to the given inequality, $
4(x+1)\ge16
,$ is
\begin{array}{l}\require{cancel}
(x+1)\ge\dfrac{16}{4}
\\\\
x+1\ge4
\\\\
x\ge4-1
\\\\
x\ge3
.\end{array}