Question

−16 + 7y ≤ 3(3 + 4y), y ∈ Z

Answer 1

Step-by-step explanation:

$\color{red} \tt \leadsto7y−16≤3(3+4y)$

$\color{blue} \tt \leadsto 7y - 16 \leq 9 + 12y$

$\color{darkcyan} \tt \leadsto - 16 \le9 + 12y - 7y$

$\color{navy} \tt \leadsto - 16 \le9 + 5y$

$\color{darkgreen} \tt \leadsto - 16 - 9 \le5y$

$\color{maroon} \tt \leadsto - 25 \le5y$

$\color{red} \tt \leadsto - \cfrac{25}{5} \le \: y$

$\color{violet} \tt \leadsto - 5 \le \: y$

$\boxed{ \boxed{ \color{red} \tt \leadsto \: y \geq - 5}}$