PPT - Inequalities Notes | Study Business Mathematics and Logical Reasoning & Statistics - CA Foundation

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CPT Section D Quantitative Aptitude Chapter 3 
J.P.SHARMA 
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CPT Section D Quantitative Aptitude Chapter 3 
J.P.SHARMA 
Inequality tells you about the relative size of two values. 
Mathematics is not always about "equals"! Sometimes you only know that 
something is bigger or smaller 
Example: ABHISHEK and BHARAT have a race, and BHARAT wins! 
What do we know? 
We don't know how fast they ran, but we do know that BHARAT was faster 
than ABHISHEK: 
BHARAT was faster than ABHISHEK 
We can write that down like this: 
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CPT Section D Quantitative Aptitude Chapter 3 
J.P.SHARMA 
Inequality tells you about the relative size of two values. 
Mathematics is not always about "equals"! Sometimes you only know that 
something is bigger or smaller 
Example: ABHISHEK and BHARAT have a race, and BHARAT wins! 
What do we know? 
We don't know how fast they ran, but we do know that BHARAT was faster 
than ABHISHEK: 
BHARAT was faster than ABHISHEK 
We can write that down like this: 
? Greater or Less Than 
? The two most common inequalities are: 
? Symbol     Words        Example Use 
          >  greater than    5 > 2 
  <  less than   7 < 9 
? They are easy to remember: the "small" end always points 
to the smaller number, like this: 
 
 
 
 
 
 
? Greater Than Symbol: BIG > small 
 
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CPT Section D Quantitative Aptitude Chapter 3 
J.P.SHARMA 
Inequality tells you about the relative size of two values. 
Mathematics is not always about "equals"! Sometimes you only know that 
something is bigger or smaller 
Example: ABHISHEK and BHARAT have a race, and BHARAT wins! 
What do we know? 
We don't know how fast they ran, but we do know that BHARAT was faster 
than ABHISHEK: 
BHARAT was faster than ABHISHEK 
We can write that down like this: 
? Greater or Less Than 
? The two most common inequalities are: 
? Symbol     Words        Example Use 
          >  greater than    5 > 2 
  <  less than   7 < 9 
? They are easy to remember: the "small" end always points 
to the smaller number, like this: 
 
 
 
 
 
 
? Greater Than Symbol: BIG > small 
 
ABHISHEK plays in the under 15 soccer. How old is 
ABHISHEK? 
We don't know exactly how old ABHISHEK is, because it 
doesn't say "equals" 
But we do know "less than 15", so we can write: 
Age < 15 
• The small end points to "Age" because the age is smaller than 15. 
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CPT Section D Quantitative Aptitude Chapter 3 
J.P.SHARMA 
Inequality tells you about the relative size of two values. 
Mathematics is not always about "equals"! Sometimes you only know that 
something is bigger or smaller 
Example: ABHISHEK and BHARAT have a race, and BHARAT wins! 
What do we know? 
We don't know how fast they ran, but we do know that BHARAT was faster 
than ABHISHEK: 
BHARAT was faster than ABHISHEK 
We can write that down like this: 
? Greater or Less Than 
? The two most common inequalities are: 
? Symbol     Words        Example Use 
          >  greater than    5 > 2 
  <  less than   7 < 9 
? They are easy to remember: the "small" end always points 
to the smaller number, like this: 
 
 
 
 
 
 
? Greater Than Symbol: BIG > small 
 
ABHISHEK plays in the under 15 soccer. How old is 
ABHISHEK? 
We don't know exactly how old ABHISHEK is, because it 
doesn't say "equals" 
But we do know "less than 15", so we can write: 
Age < 15 
• The small end points to "Age" because the age is smaller than 15. 
--- Or Equal To 
You can also have inequalities that include "equals", like: 
Symbol  Words  Example Use 
• = greater than or equal to x = 1 
• = less than or equal to  y = 3 
Example 
You must be 13 or older to watch a movie. 
The "inequality" is between your age and the age of 13. 
Your age must be "greater than or equal to 13", which would be written: 
Age = 13