You know that this equation represents the boundary line:
[tex]5x+2y=6[/tex]
You can solve for "y" in order to write the equation in Slope-Intercept Form:
[tex]y=mx+b[/tex]
Where "m" is the slope of the line and "b" is the y-intercept.
Then:
[tex]\begin{gathered} 2y=-5x+6 \\ \\ y=\frac{-5x}{2}+\frac{6}{2} \\ \\ y=-\frac{5}{2}x+3 \end{gathered}[/tex]
By definition, when the line is dashed the inequality symbol could be:
[tex]<\text{ or }>[/tex]
To determine the symbol, you can observe the graph. Notice that the shaded region is below the line. Then, you can determine that the inequality represented by the graph is:
[tex]y<-\frac{5}{2}x+3[/tex]
Hence, the answer is:
[tex]y<-\frac{5}{2}x+3[/tex]
