Is the inequality below sometimes, always, or never true?

-2(2x + 9) -4x + 9
A. always
B. sometimes
C. never

Question

Is the inequality below sometimes, always, or never true?

-2(2x + 9) > -4x + 9
  A. always 	
  B. sometimes 	
  C. never

anonymous · Answer

After distributing -2 the inequality simplified to
-4x - 18 > -4x + 9

anonymous · Answer

I'm not sure if I'm supposed to divide 9 and -18 by 9 or leave it alone and even then positive is greater than negative so I think the answer might be never...

mathmale · Answer

I'd suggest you try solving -4x - 18 > -4x + 9 for x, even though the problem statement does not call for doing that.

Looking again at the above inequality, I see it's pointless to try to solve for x, since we have -4x on both sides of the inequality and can thus remove -4x from both sides.  That leaves -18 > 9.  Is that true or false?

Thus, the inequality is    (fill in the blank)                true.

anonymous · Answer

Never true...