CPT Chapter Inequalities
|What are inequalities||07:44|
|Number line & inequalities||03:26|
|Properties of Inequality||04:42|
|Summary of Common Property||04:29|
|Forming Sign Examples||34:16|
What are inequalities?
Properties of inequalities
Forming Signs from graph
What are Inequalities?
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?
Subtracting/adding same number on both sides of inequality does not alter it.
Division/Multiplication by a positive number does not alter inequation
Division/Multiplication by a negative number changes inequation
Summary Common Properties-
Division/Multiplication by a positive number
Division/Multiplication by a negative number
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
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