Inequality all Tricks with MCQs

Inequality all Tricks with MCQs

Five Types of Inequalities

Signs	Meaning
>	Greater than
<	Less than
≥	Greater than or Equal to
≤	Less than or Equal to
=	Equal to

Types of Questions
Direct
Coded
Analogy pattern

Statement: P < Q ≤ R < S > T

Conclusions: a) T < R

b) S > P

c) R > T

d) Q < S

B, d) is true.

Statements: a) M ≤ N≤ O< P b) K = L ≥ O > C

Conclusion: a) M < O

b) P ≥ M

c) P ≥ K

d) M ≥ D

e) C = P

f) O ≥ M

F is true

Case Either Or :

Complementary Pairs: (Either & or)-Either and or cases only takes place in complementary pairs. We cannot combine two elements with common elements in which no relation is established. For example, B ≤ C, A ≥ B. here we can conclude that A ≥ C or A < C.

Note : First thing you need to check whether in your conclusion any 2 or more conclusions are wrong

then if it is there then check whether the two variables are same If It happens then write it as 'Either or' but after checking their symbols.

Rules:

1. Both conclusion should False

2. Should have Same Predicate or Variable

3. Check the symbols- sign combination,This rule is divided into two parts
1st if there is No relation
2nd if there is relation

1st if there is No relation

Three sign availability we require > < = by combining conclusion

Note: ≥ ≤ and > < is not either or case because all three signs are not available

2nd if relation can be established
by joining symbols of conclusion we get the relation which we can derive out of statement then it is either or case

If 3 Condition is satisfied then write it as " Either Or' Other wise leave it.

Not equal ≠ means < or >

1 Statements: a) A > B = C ≥ D b) P ≥ Q = R ≥ D

Conclusions: a) C = P

b) A ≥ Q

c) A < Q

we can say that A < Q or A ≥ Q. Therefore, either conclusion b) or conclusion c) is true

2 Statements: P ≥ Q ≥ C > D > E ≤ F

Conclusions: a) P ≥ F
B) F ≥ P

3 Statements: P ≥ Q = R ≥ S > T ≥ UConclusions: a) P = S
B) P > S

4 Statements: U ≥ X = Y, Y < S > T ≥ U
Conclusions: A) T ≤ U
B) S > U

Not equal ≠ means < or >
Statement: A ≠ B ≠ C
Means: A >< B >< C

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