TRUE OR FALSE:

Question

If a > b, then ac > bc.

Answer 1

True only if c ≥ 0.

If c < 0, the conclusion is false.

 

Answer 2

duplicate submission; other one is just above on the screen, and has been ansswered

Answer 3

True if c is positive.  What if c is negative?

 

2(-5) > -5

 

-10 > -5

 

False. 

 

What if c is between 0 and 1?

 

2(1/2) > 1/2

1 > 1/2

 

True.

 

 

If c is both negative and between 0 & 1.

 

2(-1/2) > -1/2

-1 > -1/2

 

False.

 

Only true for positive numbers of c.