Answer:
x < -8
Explanation:
Given the inequality
[tex]-5x+15>55[/tex]First, add 5x to both sides.
[tex]\begin{gathered} -5x+5x+15>55+5x \\ 15>55+5x \end{gathered}[/tex]Next, subtract 55 from both sides.
[tex]\begin{gathered} 15-55>55-55+5x \\ -40>5x \end{gathered}[/tex]Finally, divide both sides by 5
[tex]\begin{gathered} -\frac{40}{5}>\frac{5x}{5} \\ -8>x \\ \implies x<-8 \end{gathered}[/tex]