Linear Inequality Flashcards Preview

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Flashcards in Linear Inequality Deck (12)
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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