Subsets

IMPORTANT

Subsets: Overview

This topic covers concepts such as Universal Set, Equal Sets, Subset of a Set, Proper Subsets of a Set, Number of Subsets of a Set, Subsets of Set of Real Numbers, Open and Close Intervals, Semi-Open Interval, Power Set of a Set, etc.

Important Questions on Subsets

MEDIUM
IMPORTANT

Find whether the given pair of sets are equal or not.

A=x:x is number of factors of 45 less than 8 greater than 4

B=x:x is number of vowels in English alphabet

EASY
IMPORTANT

Find the length of the interval [12, 35].

EASY
IMPORTANT

Define length of an interval.

EASY
IMPORTANT

What is superset?

EASY
IMPORTANT

Find the power sets P(A) and P(B) where A={a, b, {c, d}} and B={{a}, {b}}

EASY
IMPORTANT

Write all possible subsets of the following sets:

{ϕ, {ϕ}}

EASY
IMPORTANT

Describe the power set of the set A={{1}, {2, 3}}

EASY
IMPORTANT

Write the following subset of R as interval:

x|xR, mR, x=5m and 2<m5

EASY
IMPORTANT

The set of rational numbers is subset of set of real numbers.

EASY
IMPORTANT

The set of natural number is subset of set of real numbers.

EASY
IMPORTANT

The length of an interval (-18,-24] is 

EASY
IMPORTANT

The length of an interval 14,18 is 

EASY
IMPORTANT

Write the following subsets of R as interval :{x:xR,-12<x<-10}.

EASY
IMPORTANT

Which of the following is the power set of A=1,2,3 

EASY
IMPORTANT

Write the following subset of R as interval:

x: xR, 3x4

EASY
IMPORTANT

Write the following subset of R as interval:

{x:xR,-12<x<-10}

EASY
IMPORTANT

If A=a,b,c which of he following is the power set of A

EASY
IMPORTANT

If S={ square, rectangle, circle, rhombus, triangle }, write the number of elements of subset of S which have shape of 3 sides.

EASY
IMPORTANT

Write the name of the element from S={ square, rectangle, circle, rhombus, triangle }, which have radius.

EASY
IMPORTANT

Are the two sets C=2,3,4,5D=x:xW,1<x<5  equivalent sets or unequal sets or equal sets?