Question

Tell whether or not the following statement are ture for all the numbers. If the statement is not true, give a counterexample. if a>b, and c is positive, then a/c>b/c. help!!!!

Answer 1

okk its true.. can u xplain me?

Answer 2

well if a is positive and b is negative it would make the statement true am i right?

Answer 3

it will in any case even if a and b both positive or if a and b both negatv or one positive and other negatv

Answer 4

ok thnx!! alot

Answer 5

Given \[a>b\] assume \[\frac{a}{c}<\frac{b}{c}\]and arrive at a contradiction

Answer 6

wait clarify "all the numbers"

Answer 7

ok thank you!

Answer 8

@ebbflo how can it become less than as c is positive number?

Answer 9

@vedic exactly, that's the contradiction

i.e.

given \[a>b\]
assume \[\frac{a}{c}<\frac{b}{c}\]
multiply both sides by \[c\]
to get
\[a<b\]
which is a contradiction
thus
\[\frac{a}{c}>\frac{b}{c}\]