Given the inequality:
[tex]8-5h-3>5h-5-8h[/tex]So, combine like terms
[tex]\begin{gathered} -5h+8h-5h>-5+3-8 \\ -2h>-10 \end{gathered}[/tex]Divide the two sides by (-2)
Note: the sign > will be <
[tex]\begin{gathered} \frac{-2h}{-2}<\frac{-10}{-2} \\ \\ h<5 \end{gathered}[/tex]So, the solution of the inequality is the interval ( - ∞ , 5 )
The solution on the number line will be as following:
