Are you looking for any of the below queries?

• Inequality Questions PDF
   
• Inequality Questions and Answers
   
• Inequality Problems for CET
   
• Inequality Problems with Solution
   
• Inequality Tricks and Tips
   
• Inequality Questions PDF
   
• Inequality Questions for Bank PO PDF Download
   
• Inequality Questions for Bank PO with Solution PDF

Inequalities denote the relative size of two values. It is not only about equals in Maths, sometimes something is greater or less than.
 
Example: A and B have a race and B wins!
 
So, what do we know?
 
We don’t know how fast they ran, but we know that B ran faster than A.
 
So, we can write it down like this:
 
B > A
 
(Where B denotes how fast was B, ‘ > ’ denotes greater than and A denotes how fast A was)
 
We call the example, given above as inequalities as they are ’not equal’.
 
In the case of Inequalities, we need to be aware of the signs which include ( >, ≥, <, ≤ and = ). In such problems, the operator ‘ > ’ and ‘ < ‘ are accorded the highest priority. It is followed by ‘ ≥ ‘ and ‘ ≤ ‘.
 
On the other hand, ‘ = ‘ has the least priority.
 
So, if a statement is given as A > B ≥ C = D
 
Then A > C, D as ‘ > ’ has the highest priority.
 
B ≥ D as, ‘ ≥ ‘ has more priority than ‘ = ‘
 
Example:
 
Directions: In these questions, relationship between different elements is shown in the statement. The statement is followed by two conclusions. Choose the correct answer on the basis of information given below.
 
(1)
 
Statements: B > A ≥ T > F = Y ≤ S < D
Conclusions: F < D , A > S
 
A. Only conclusion I follows
B. Either conclusion I or conclusion II follows
C. Only conclusion II follows
D. Both conclusions follow
E. Neither conclusion I nor conclusion II follows
 
Ans. A
 
Statements: B > A ≥ T > F = Y ≤ S < D
 
Conclusions: F < D , A > S
 
For conclusion I: F < D
 
Here, the common sign between F and D is '<', hence F < D.
 
Thus conclusion I follows.
 
For conclusion II: A > S
 
Here, we can see the opposite sign between A and S, thus no relationship can be established between them.
 
Thus conclusion II does not follow.
 
Therefore only conclusion I follows.
 
Hence option A is correct.
 
 
(2)
 
Statements: Y < O ≤ G ≤ K = U > L > P
Conclusions: O = U , U > O
 
A. Only conclusion I follows
B. Either conclusion I or conclusion II follows
C. Only conclusion II follows
D. Both conclusions follow
E. Neither conclusion I nor conclusion II follows
 
Ans. B
 
Statements: Y < O ≤ G ≤ K = U > L > P
 
Conclusions: O = U , U > O
 
Here, the common sign between O and U is '≤', hence O ≤ U.
 
Thus, either O < U or O = U.
 
Therefore either conclusion I or II follows.
 
Hence option B is correct.
 
 
(3)
 
Statements : M < T < G ≤ J = U > Y > R
Conclusions : G < U , J > R
 
A. Only conclusion I follows
B. Either conclusion I or conclusion II follows
C. Only conclusion II follows
D. Both conclusions follow
E. Neither conclusion I nor conclusion II follows
 
Ans. C
 
Statements: M < T < G ≤ J = U > Y > R
 
Conclusions: G < U , J > R
 
Here, the common sign between G and U is '≤', hence G < U does not follow.
 
Therefore conslusion I does not follow.
 
And, the common sign between J and R is '>', thus J > R follows.
 
Therefore conclusion II follows.
 
Hence option C is correct.
 
 
(4)
 
Statement : 3 ≥ 9 < 7 ≤ 10 = 2 ≤ 6
Conclusions : I. 6 > 9 II. 9 ≤ 2
 
A. Only conclusion I follows
B. Only conclusion II follows
C. Either conclusion I or conclusion II follows
D. Both conclusions follow
E. Neither conclusion I or conclusion II follows
 
Ans. A
 
Statement: 3 ≥ 9 < 7 ≤ 10 = 2 ≤ 6
 
Conclusions: I. 6 > 9 II. 9 ≤ 2
 
Checking conclusion I: 6 > 9
 
From the given statement, we get:
 
While moving from 6 towards 9, the common sign of inequalities is '>' and the given conclusions is also '6 > 9'. Clearly, C1 follows.
 
Checking conclusion II: 9 ≤ 2
 
In the statement 9 < 7 ≤ 10 = 2, the common sign of inequalities between 9 and 2 is '<' whereas the given conclusion is '9 ≤ 2'. Therefore, C2 doesn't follow.
 
Option A is hence the correct answer.