Answer:
[tex]\boxed{x > -7}[/tex]
Step-by-step explanation:
[tex]\begin{array}{rcll}-2x +8 + 5x & > & 2x + 1 & \\3x + 8 & > & 2x + 1 & \text{Simplified}\\x + 8 & > &1 & \text{Subtracted 2x from each side}\\x & > & -7 & \text{Subtracted 8 from each side }\\\end{array}\\\boxed{\mathbf{x > -7}} \text{ satisfies the inequality}[/tex]
