SOLUTION: Determine which, if any, of the three statements are equivalent. I) If the rain is falling, then the ladybugs do not crawl on the plants. II) If the ladybugs do not crawl on the

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Determine which, if any, of the three statements are equivalent. I) If the rain is falling, then the ladybugs do not crawl on the plants. II) If the ladybugs do not crawl on the       Log On


   

Question 297592: Determine which, if any, of the three statements are equivalent.
I) If the rain is falling, then the ladybugs do not crawl on the plants.
II) If the ladybugs do not crawl on the plants, then the rain is not falling.
III) If the rain is falling, then the ladybugs crawl on the plants.

a). I, II, and III are equivalent
b). I and II are equivalent
c). II and III are equivalent
d). I and III are equivalent
e). None are equivalent


Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
c) they are contrapositives
negate both terms and switch order
II) If the ladybugs do not crawl on the plants, then the rain is not falling.
III) If the rain is falling, then the ladybugs crawl on the plants.