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

Question

I. ut > vt. II. u + t > v + t. III. u - t > v - t

a.) I only

b.) III only

c.) I and II only

c.) I, II, and III

Answer 1

ut>vt

divide both sides by t to get

u>v

I is True

(it's only True because t>0. had t<0, division by t would have reversed the inequality sign)

that eliminates b) as the right answer

that leaves a), c) or d)

u+t>v+t

subtract t from both sides to get

u>v

II is true

that eliminates a)

leaving either c) or d) as correct

u-t>v-t

add t to both sides leaving

u>v

d) is correct, I,II and III are all correct

Answer 2

True are all I, II and III