Answer
The second step is wrong.
The correct solution is $ x\geq -12$.
Work Step by Step
The given inequality is
$\Rightarrow \frac{x}{4}+6\geq 3$
Multiply each side by $4$.
$\Rightarrow 4\cdot (\frac{x}{4}+6)\geq 4\cdot 3$
Use distributive property.
$\Rightarrow x+24\geq 12$
Subtract $24$ from each side.
$\Rightarrow x+24-24\geq 12-24$
Simplify.
$\Rightarrow x\geq -12$
Hence, the second step is wrong. The correct solution is $ x\geq -12$.
