Linear Inequality Flashcards
1
Q
a>b implies
A
a+-c > b+_c
am > bm and a/m > b/m (m>0)
am
2
Q
a>b>0 implies
A
a^2 > b^2
|a| > |b|
1/a
3
Q
a<b></b>
A
a^2 > b^2
|a|>|b|
1/a > 1/b
4
Q
a
A
a^2 > b^2 if |a| > |b|
a^2
5
Q
a
A
a^2
6
Q
a
A
0 |a|
0|b|
7
Q
|x|
A
a is +ve when -a
8
Q
0<a></a>
A
0<a>1</a>
9
Q
Ai>Bi
A
A1+A2+….>B1+B2+…
10
Q
Ai>Bi>0
A
A1A2……>B1B2…..
11
Q
Arithmetico Geometric Mean inequality
A
[(p+q) + (r+s)]/2 >= [(p+q)(r+s)]^1/2
AM>=GM
GM>HM
12
Q
If f(X) = ax^2 + bx + c
And f(X) >0 Then D?
A
D
