Given:
the Slope-intercept form inequality,
[tex]3x+4y>\: 8[/tex]
To find:
to solve for y.
Explanation:
Consider the inequality,
[tex]\begin{gathered} 3x+4y>\: 8 \\ \end{gathered}[/tex]
Subract
[tex]3x[/tex]
from both of the sides, we get
[tex]3x+4y-3x>8-3x[/tex]
let us simplify now,
[tex]4y>8-3x[/tex]
We need to solve for y, so divive 4 on both the sides,
[tex]\frac{4y}{4}>\frac{8}{4}-\frac{3x}{4}[/tex]
By, simplifying we get
[tex]y>\frac{8-3x}{4}[/tex]
FInal Answer:
The inequality solved for y is,
[tex]y>\frac{8-3x}{4}[/tex]
