We are given the following inequality:
[tex]v-20>-4v[/tex]To solve for "v" we will add "4v" on both sides:
[tex]\begin{gathered} v+4v-20>-4v+4v \\ \end{gathered}[/tex]Adding like terms:
[tex]5v-20>0[/tex]Now, we add 20 to both sides:
[tex]5v-20+20>20[/tex]Adding like terms:
[tex]5v>20[/tex]Now, we divide both sides by 5:
[tex]\frac{5v}{5}>\frac{20}{5}[/tex]Solving the operations:
[tex]v>4[/tex]Since we can't simplify any further this is the final answer.