SOLUTION: If s^3*t^4*u^3*w > 0 and w < 0 , which of the following must be true? 1)s > 0 2)u < 0 3)su > 0 4)su < 0 5)t > 0

Algebra ->  Inequalities -> SOLUTION: If s^3*t^4*u^3*w > 0 and w < 0 , which of the following must be true? 1)s > 0 2)u < 0 3)su > 0 4)su < 0 5)t > 0      Log On


   



Question 1110750: If s^3*t^4*u^3*w > 0 and w < 0 , which of the following must be true?
1)s > 0
2)u < 0
3)su > 0
4)su < 0
5)t > 0

Found 2 solutions by mananth, greenestamps:
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!

s%5E3%2At%5E4%2Au%5E3%2Aw+ > 0 and w < 0
w< 0
therefore su < 0

Answer by greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!


t^4 is always positive or 0; since the product is positive, t^4 must be positive.

Since t^4 is positive and w is negative, and the product s^3t^4u^3w is positive, s^3u^3 must be negative.

But s^3u^3 is (su)^3; therefore su must be negative.

Answer: su < 0