CPT Chapter Inequalities
With Anand.Duration:2hrs28min
| Inequalities | Duration (min:sec) |
| Introduction | |
| {modal https://www.youtube.com/embed/EjshfO6VOMg?autoplay=1;rel=0|width=780|height=439|title=Introduction}Introduction{/modal} | 04:54 |
| {modal https://www.youtube.com/embed/05HpCjINhPM?autoplay=1;rel=0|width=780|height=439|title=Index}Index{/modal} | 03:47 |
| {modal https://www.youtube.com/embed/F-b6jtfEmhc?autoplay=1;rel=0|width=780|height=439|title=What are inequalities}What are inequalities{/modal} | 07:44 |
| {modal https://www.youtube.com/embed/eSVKAzZQ648?autoplay=1;rel=0|width=780|height=439|title=Number line & inequalities}Number line & inequalities{/modal} | 03:26 |
| Properties | |
| {modal https://www.youtube.com/embed/a-jTMdAwILo?autoplay=1;rel=0|width=780|height=439|title=Properties of Inequality}Properties of Inequality{/modal} | 04:42 |
| {modal https://www.youtube.com/embed/KFxbneQ3-tY?autoplay=1;rel=0|width=780|height=439|title=Common Property}Common Property{/modal} | 09:46 |
| {modal https://www.youtube.com/embed/K-Swy1K8DMk?autoplay=1;rel=0|width=780|height=439|title=Summary of Common Property}Summary of Common Property{/modal} | 04:29 |
| {modal https://www.youtube.com/embed/oAMj0hyNkmU?autoplay=1;rel=0|width=780|height=439|title=Solving Inequalities}Solving Inequalities{/modal} | 25:42 |
| Graph | |
| {modal https://www.youtube.com/embed/I4J89wJEfWM?autoplay=1;rel=0|width=780|height=439|title=Graph}Graph{/modal} | 10:02 |
| {modal https://www.youtube.com/embed/zBgPDcfA4sE?autoplay=1;rel=0|width=780|height=439|title=Liner Graph}Liner Graph{/modal} | 10:01 |
| {modal https://www.youtube.com/embed/6IH6-AFE6F0?autoplay=1;rel=0|width=780|height=439|title=Examples Graph}Examples Graph{/modal} | 10:22 |
| {modal https://www.youtube.com/embed/FFVeElz4hi0?autoplay=1;rel=0|width=780|height=439|title=Forming Sign}Forming Sign{/modal} | 01:39 |
| {modal https://www.youtube.com/embed/6u3Xh9F6U2c?autoplay=1;rel=0|width=780|height=439|title=Forming Sign Examples}Forming Sign Examples{/modal} | 34:16 |
| {modal https://www.youtube.com/embed/K8ktIJ8hZKw?autoplay=1;rel=0|width=780|height=439|title=Forming Equation}Forming Equation{/modal} | 15:18 |
| {modal https://www.youtube.com/embed/g3OUKE2nBU0?autoplay=1;rel=0|width=780|height=439|title=Conclusion}Conclusion{/modal} | 02:02 |
| Total | 02:28:10 |
What are inequalities?
Properties of inequalities
Solving inequalities
Drawing graph
Forming Signs from graph
Forming equations
What are Inequalities?
Example-
Tarun’s bag has less than 10 mangoes
Vinay saw not less than 10 tigers
Dylan earns not more than Rs 1,00,000
X is a whole number not more than 5
X is a real number not more than 5
Properties of Inequalities?
Common Properties-
Subtracting/adding same number on both sides of inequality does not alter it.
2x+6< 3(x-5)
Division/Multiplication by a positive number does not alter inequation
Division/Multiplication by a negative number changes inequation
Summary Common Properties-
Subtracting/adding same
Division/Multiplication by a positive number
Division/Multiplication by a negative number
Reciprocal relationship
Examples-
Find the range of real values of x satisfying the inequalities 3x - 2 > 7 and 4x - 13 > 15
a) x > 3
b) x > 7
c) x < 7
d) x < 3
On solving the inequalities 6x + y ≥18, x + 4y ≥ 12,
2x + y ≥10, we get the following situation :
a) (0,18), (12, 0), (4, 2) & (7, 6)
b) (3,0), (0, 3), (4, 2), & (7, 6)
c) (5,0), (0, 10), (4, 2) & (7, 6)
d) (0,18), (12, 0), (4, 2), (0, 0) and (7,6)
The Linear relationship between two variables in an inequality
a) ax + by ≤ c
b) ax by ≤ c
c) axy + by ≤ c
d) ax + bxy ≤ c
Cost of 5 mangoes and 2 apples can be at the most Rs 36. This can be represented by
a) 5x+2y>36
b) 5x+2y≥36
c) 5x+2y≤36
d) 5x+2y<36
Notes
CPT Exam Exposure