Question:
If U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A = {1, 2, 3, 5), B = {2, 4, 6, 7) and C = {2, 3, 4, 8}. Then, ____________.
(i) (B ∪ C)'=_____
(ii) (C – A)'=_____
Solution:
If U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
A = {1, 2, 3, 5), B = {2, 4, 6, 7) and C = {2, 3, 4, 8}
A' = {4, 6, 7, 8, 9, 10}, B' = (1, 3, 5, 8, 9, 10) and C' ={1, 5, 6, 7, 9, 10}
Then (B ∪ C)' = B' ⋂ C'
= {1, 3, 5, 8, 9, 10} ⋂ {1, 5, 6, 7, 9, 10}
i.e (B ∪ C)' = {1, 5, 9, 10} and (C – A)' = (C ⋂ A')'
= C' ∪ A
= {1, 5, 6, 7, 9, 10} ∪ {1, 2, 3, 5}
(C – A)' = {1, 2, 3, 5, 6, 7, 9, 10}
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All Study Material
- JEE Main
- Exam Pattern
- Previous Year Papers
- PYQ Chapterwise
- Physics
- Kinematics 1D
- Kinemetics 2D
- Friction
- Work, Power, Energy
- Centre of Mass and Collision
- Rotational Dynamics
- Gravitation
- Calorimetry
- Elasticity
- Thermal Expansion
- Heat Transfer
- Kinetic Theory of Gases
- Thermodynamics
- Simple Harmonic Motion
- Wave on String
- Sound waves
- Fluid Mechanics
- Electrostatics
- Current Electricity
- Capacitor
- Magnetism and Matter
- Electromagnetic Induction
- Atomic Structure
- Dual Nature of Matter
- Nuclear Physics
- Radioactivity
- Semiconductors
- Communication System
- Error in Measurement & instruments
- Alternating Current
- Electromagnetic Waves
- Wave Optics
- X-Rays
- All Subjects
- Physics
- Motion in a Plane
- Law of Motion
- Work, Energy and Power
- Systems of Particles and Rotational Motion
- Gravitation
- Mechanical Properties of Solids
- Mechanical Properties of Fluids
- Thermal Properties of matter
- Thermodynamics
- Kinetic Theory
- Oscillations
- Waves
- Electric Charge and Fields
- Electrostatic Potential and Capacitance
- Current Electricity
- Thermoelectric Effects of Electric Current
- Heating Effects of Electric Current
- Moving Charges and Magnetism
- Magnetism and Matter
- Electromagnetic Induction
- Alternating Current
- Electromagnetic Wave
- Ray Optics and Optical Instruments
- Wave Optics
- Dual Nature of Radiation and Matter
- Atoms
- Nuclei
- Semiconductor Electronics: Materials, Devices and Simple Circuits.
- Chemical Effects of Electric Current,
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