HELP!!!!!!!!!!!!!!!!!!!!!!!!

Answer:
H: [tex]x\leq -5[/tex]
Step-by-step explanation:
[tex]-4x+10\geq 5x+55\\-4x\geq 5x+45\\-9x\geq 45\\x\leq -5[/tex]
Remember when dividing by a negative number across the inequality the direction of the inequality flips.