Question:
List all the elements of the following sets:
(i) $A=\left\{x: x^{2} \leq 10, x \in Z\right\}$
(ii) $B=\left\{x: x=\frac{1}{2 n-1}, 1 \leq n \leq 5\right\}$
(iii) $C=\left\{x: x\right.$ is an integer, $\left.-\frac{1}{2}
(iv) D = {x : x is a vowel in the word "EQUATION"}
(v) E = {x : x is a month of a year not having 31 days}
(vi) F = {x : x is a letter of the word "MISSISSIPPI"}
Solution:
(i) $A=\{0, \pm 1, \pm 2, \pm 3\}$
(ii) $B=\left\{1, \frac{1}{3}, \frac{1}{5}, \frac{1}{7}, \frac{1}{9}\right\}$
(iii) $C=\{0,1,2,3,4\}$
(iv) $D=\{A, E, I, O, U\}$
(v) $E=\{$ February, April, June, September, November $\}$
(vi) $F=\{M, I, S, P\}$
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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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