# 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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