Look at the Following 2 Problem needs Help

Question

If u > v and t > 0, which of the following are true?

 

a. ut>vt

b. u+t>v+t

c. u-t>v-t

 

which of the following is the greatest?

 

a. 2/3

b.7/9

c.10/15

d.8/11

Answer 1

Given:

u>v and t>0

This means that 't' is definitely a positive integer.

 

For ut>vt

Divide both side of equation by t, we get

u>v (already given)

Hence, this is true.

 

For u+t>v+t

Subtract t from both sides of the equation, we get

u>v (already given)

Hence, this is true.

 

For u-t>v-t

Add t to both sides of the equation, we get
u>v (already given)
Hence, this is true.