If X = {1, 2, 3}, if n represents any member of X, write the following sets containing all numbers represented by:
(i) 4n
(ii) n + 6
(iii) n/2
(iv) n – 1
(i) According to the question,
X = {1, 2, 3} where n represents any member of X
X = {1, 2, 3}
{4n | n ∈ x}
= {4×1, 4×2, 4×3}
= {4, 8, 12}
(ii) According to the question,
X = {1, 2, 3} where n represents any member of X
X = {1, 2, 3}
{n + 6 | n ∈ x}
= {1 + 6, 2 + 6, 3 + 6}
= {7, 8, 9}
(iii) According to the question,
X = {1, 2, 3} where n represents any member of X
X = {1, 2, 3}
$\left\{\frac{n}{2} \mid n \in \chi\right\}$
$=\left\{\frac{1}{2}, \frac{2}{2}, \frac{3}{2}\right\}$
= { ½, 1, 3/2}
(iv) According to the question,
X = {1, 2, 3} where n represents any member of X
X = {1, 2, 3}
{n – 1 | n ∈ x}
= {1 – 1, 2 – 1, 3 – 1}
= {0, 1, 2}
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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,