Inequalities

Learn Inequalities With Tricks

Rules & Terminologies

1. openside { > or > } closedside;

2. openside { = } openside;

3. closedside{ < or < } openside

SPECIAL CASE (EITHER OR ):

1. If > or < condition is true but given in two different statements then



2. we can conclude as either 1st statement or 2nd statement.

Rules:

1. Rule 1 =
   
   we always move forward if it is open otherwise stop


2. Rule 2 = Priorities:
   
   Set 1 ( > , > , = ) :
   
   First Priority : >
   
   Second Priority : >
   
   Third Priority : =
   
   
   Set 2 ( < , < , = ) :
   
   First Priority : <
   
   Second Priority : <
   
   Third Priority : =



3. Rule 3 =
   
   We always move from openside to close side

Example: A > B > C > D > E ;E = F > G ; M > B > F > I

CONCLUSIONS:

1. C > F
2. A > F
3. E < D
4. E > I
5. E = I
6. B > M
   
   

SOLUTIONS:

Conclusion 1

WE ALWAYS START FROM OPEN SIDE.

FIRST C TO D IS OPEN GO;D TO E OPEN GO;E TO F OPEN WE HAVE REACHED FINAL POINT.

SYMBOLS INCLUDED : > ,>,=

AFTER ARRANGING THEM ACCORDING TO PRIORITIES : >, > ,=

CONCLUSION : C > F IS CORRECT

Conclusion 2

WE ALWAYS STARTS FROM OPEN SIDE.

FIRST A TO B IS OPEN GO;B TO F OPEN GO WE HAVE REACHED FINAL POINT.

SYMBOLS INCLUDED : >,>

AFTER ARRANGING THEM ACCORDING TO PRIORITIES : >,>

CONCLUSION : A > F IS CORRECT

Conclusion 3

WE ALWAYS STARTS FROM OPEN SIDE.

FIRST D TO E IS OPEN GO; FINAL POINT.

SYMBOLS INCLUDED : >

AFTER ARRANGING THEM ACCORDING TO PRIORITIES : >

CONCLUSION : E < D IS CORRECT

Conclusion 4( special case )

WE ALWAYS STARTS FROM OPEN SIDE.

FIRST E TO F IS OPEN GO;F TO I OPEN GO WE HAVE REACHED FINAL POINT.

SYMBOLS INCLUDED : =, >

AFTER ARRANGING THEM ACCORDING TO PRIORITIES : > , =

CONCLUSION : E > I IS WRONG

Conclusion 5( special case )

WE ALWAYS STARTS FROM OPEN SIDE.

FIRST E TO F IS OPEN GO;F TO I OPEN GO WE HAVE REACHED FINAL POINT.

SYMBOLS INCLUDED : =, >

AFTER ARRANGING THEM ACCORDING TO PRIORITIES : > , =

CONCLUSION : E = I IS WRONG

BUT FROM CONCLUSION 4 AND 5 E > I WHICH IS CORRECT CONCLUSION. SO WE CAN SIMPLY CONCLUDE THAT EITHER 4 OR 5 IS CORRECT

Conclusion 6

WE ALWAYS STARTS FROM OPEN SIDE.

FIRST B TO M IS CLOSED THEN STOP

CONCLUSION B>M IS WRONG

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