CPT Chapter Inequalities
With Anand.Duration:2hrs28min
Inequalities | Duration (min:sec) |
Introduction | |
Introduction | 04:54 |
Index | 03:47 |
What are inequalities | 07:44 |
Number line & inequalities | 03:26 |
Properties | |
Properties of Inequality | 04:42 |
Common Property | 09:46 |
Summary of Common Property | 04:29 |
Solving Inequalities | 25:42 |
Graph | |
Graph | 10:02 |
Liner Graph | 10:01 |
Examples Graph | 10:22 |
Forming Sign | 01:39 |
Forming Sign Examples | 34:16 |
Forming Equation | 15:18 |
Conclusion | 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
Simple and Compound interest interest
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