4.1 solving inequalities
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The document discusses solving inequalities in one variable. It provides examples of solving different types of inequalities, including: basic inequalities involving addition or subtraction; compound inequalities using conjunctions or disjunctions; and combined inequalities with variables on both sides of the expression. Warm up problems at the beginning ask about combining movie collections between friends. The rest of the document works through examples of solving various inequalities step-by-step.
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Surveying: Object Principles & Types of Surveying; Site Plans, Plans & Maps; Scales & Unit of different Measurements.
Linear Measurements: Instruments used. Linear Measurement by Tape, Ranging out Survey Lines and overcoming Obstructions; Measurements on sloping ground; Tape corrections, conventional symbols. Angular Measurements: Instruments used; Introduction to Compass Surveying, Bearings and Longitude & Latitude of a Line, Introduction to total station.
Levelling: Instrument used Object of levelling, Methods of levelling in brief, and Contour maps.
Chapter 4
Buildings: Selection of site for Buildings, Layout of Building Plan, Types of buildings, Plinth area, carpet area, floor space index, Introduction to building byelaws, concept of sun light & ventilation. Components of Buildings & their functions, Basic concept of R.C.C., Introduction to types of foundation
Chapter 5
Transportation: Introduction to Transportation Engineering; Traffic and Road Safety: Types and Characteristics of Various Modes of Transportation; Various Road Traffic Signs, Causes of Accidents and Road Safety Measures.
Chapter 6
Environmental Engineering: Environmental Pollution, Environmental Acts and Regulations, Functional Concepts of Ecology, Basics of Species, Biodiversity, Ecosystem, Hydrological Cycle; Chemical Cycles: Carbon, Nitrogen & Phosphorus; Energy Flow in Ecosystems.
Water Pollution: Water Quality standards, Introduction to Treatment & Disposal of Waste Water. Reuse and Saving of Water, Rain Water Harvesting. Solid Waste Management: Classification of Solid Waste, Collection, Transportation and Disposal of Solid. Recycling of Solid Waste: Energy Recovery, Sanitary Landfill, On-Site Sanitation. Air & Noise Pollution: Primary and Secondary air pollutants, Harmful effects of Air Pollution, Control of Air Pollution. . Noise Pollution Harmful Effects of noise pollution, control of noise pollution, Global warming & Climate Change, Ozone depletion, Greenhouse effect
Text Books:
1. Palancharmy, Basic Civil Engineering, McGraw Hill publishers.
2. Satheesh Gopi, Basic Civil Engineering, Pearson Publishers.
3. Ketki Rangwala Dalal, Essentials of Civil Engineering, Charotar Publishing House.
4. BCP, Surveying volume 1
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4.1 solving inequalities
- 1. 4.1 Inequalities.notebook September 19, 2012 Objective Solving Inequalities in one variable Agenda 1. WU 2. Check p 171 3. Notes 4. HW Warm Up Daniel and his friends are combining their movie collections. Daniel has 3 drama, 8 comedy, and 3 horror movies. Joe has 2 drama and 6 comedy movies. Stan has 4 horror, 3 comedy and 2 chick flicks. How many movies do each of the boys have? How many movies do they have together? What is their average number of movies? What is their average number of comedy movies? 1
- 2. 4.1 Inequalities.notebook September 19, 2012 p 171 # 1 6 1. won't change 2. won't change 3. won't change 4. won't change 5. will change 6. will change 1 < 2 2( 1 < 2) 2
- 3. 4.1 Inequalities.notebook September 19, 2012 Solving Inequalities 3x + 16 < 7 5x < 10 3
- 4. 4.1 Inequalities.notebook September 19, 2012 7 4x ≤ 1 2x 4
- 5. 4.1 Inequalities.notebook September 19, 2012 Solving Combined or Compound Inequalities Conjunction 2 ≤ x <1 [2, 1) 5 4 3 [ 2 1 0 ) 1 2 3 4 5 Disjunction x < 1 or x ≥ 2 (∞, 1), [2, ∞) 5 4 3 2 )1 0 1 [ 2 3 4 5 5
- 6. 4.1 Inequalities.notebook September 19, 2012 2 ≤ x + 3 < 4 t < 3 or t ≤ 4 6