Conditions for which inequalitys is true

  • #1
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A:
1-mt<w^2(m+t)

B:
-(1+mt)<(w^2 )t(m-t)


i have 4 cases
for each case they said that needs to be a condition for which this case would be true
1: m>t and mt<1
so they say that i have to demand
w^2>(1-mt)/(m+t) which is inequality A

2: m<t and mt<1
they say that i have to demand
inequalitys A and B

why ??
 

Answers and Replies

  • #2
HallsofIvy
Science Advisor
Homework Helper
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A:
1-mt<w^2(m+t)

B:
-(1+mt)<(w^2 )t(m-t)


i have 4 cases
for each case they said that needs to be a condition for which this case would be true
1: m>t and mt<1
so they say that i have to demand
w^2>(1-mt)/(m+t) which is inequality A

2: m<t and mt<1
they say that i have to demand
inequalitys A and B

why ??
If m< t, m- t is negative, if m> t, m- t is positive, if mt< 1, 1-mt is positive and w^2 is always positive.
 
  • #3
1,395
0
so why in case two they demand both ??
it seems like the left side is true always
it cannot be negative?
 
  • #4
1,395
0
why in the 1st case we only pick only one innequality
??
 
  • #5
1,395
0
even if i substitute what you say regarding the positive and negative
i get
positive>positive

so??
 
  • #6
1,395
0
wwoowww thanks i understood that stuff
:)
 

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