Is the inequality sometimes, always, or never true?

Answer: Never true
Work Shown:
-2(2x+9) > -4x+9
-4x-18 > -4x+9 ... distribute
-18 > 9 .... add 4x to both sides; they cancel
The last inequality is false regardless of which x value you pick. Since the last inequality is always false, that means the first inequality is always false.