Power Set:

Download PDF of This Page (Size: 216K)

NIOS Mathematics Part 1 Ch 1 Sets Relations Functions Part 4

Let then, Subset of are and . If we consider these subsets as elements of a new set (say) then, . is said to be the power set of .

Power set

Power Set

Power set

Example:

Write the power set of each of the following sets:

(i)

(ii)

Solution:

  • Clearly (Null set), is the only subset of given set,

  • The set can be written as

  • Subsets of are

  • .

Universal Set:

A Universal Set is the set of all elements under consider, denoted by capital . All other sets are subsets of the universal set.

Universal Set

Universal Set

Universal Set

Example:

Which of the following sets can be considered as a universal set?

Solution:

  • As it is clear that both sets and are subset of .

  • is the universal set for this problem.

Get unlimited access to the best preparation resource for CTET - fully solved questions with step-by-step exaplanation- practice your way to success.

Developed by: