150k views
1 vote
If a, b, and c are rational numbers and ac>bc always true?

User Johanson
by
5.3k points

1 Answer

10 votes

Answer:

Let's put it like this.

a = 1

b = 2

c = 3

Now, multiply b and a.

a x c = 3

Convert this expression to its factored version, ac.

Next, multiply b and c.

b x c = 6

Turn b and c into factored form, bc.

conclusion

Since 6 is greater than 3, this statement is not true. The only way it will always be true is if you reversed the number sequence to be greatest to least, instead of least to greatest.

User Eric Finn
by
6.1k points