Classify each of the following as true or false, where a, b and c are real numbers.
I. If a >b then ac>bc
II. if a> b then a^2 >b^2
III. if a< b then a/c < b/c
IV. if ab < ac then b > c
I got all of them to be true. Im not forsure if they are right.
I. a=10 b=3 c= 5 10>3 then 10(5)> 3(5)
II. a=10 b=3 10>3 then 10^2>3^2
III. a=5 b=10 c=15 5<10 then 5/15<10/15
IV. a=10 b= 8 c=5 10(8) < 10(5) then 8>5
I. If a >b then ac>bc
II. if a> b then a^2 >b^2
III. if a< b then a/c < b/c
IV. if ab < ac then b > c
I got all of them to be true. Im not forsure if they are right.
I. a=10 b=3 c= 5 10>3 then 10(5)> 3(5)
II. a=10 b=3 10>3 then 10^2>3^2
III. a=5 b=10 c=15 5<10 then 5/15<10/15
IV. a=10 b= 8 c=5 10(8) < 10(5) then 8>5