Answer:
[tex]y\geq 4+\frac{7x}{4}[/tex]
Step-by-step explanation:
[tex]7x-4y\leq -16[/tex]
Subtract 7x from both sides to isolate y
[tex]7x-7x-4y\leq -16-7x[/tex]
[tex]-4y\leq -16-7x[/tex]
Divide both sides by -4 to isolate y
[tex]\frac{-4y}{-4}\leq \frac{-16-7x}{-4}[/tex]
Simplify and flip the [tex]\leq[/tex] because you are dividing by a negative number
[tex]y\geq 4+\frac{7x}{4}[/tex]
Finito.
