IIT-JEE · Class 11 · Mathematics

Set Theory and Real Number System

Set Theory and Real Number System

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Sets

  • representation of a set
  • different types of sets
  • subset
  • proper subset
  • power set
  • universal set
  • Venn diagram

Operations on Sets

  • complement of a set
  • symmetric difference of sets
  • Venn diagrams of set operations
  • intervals as a subset of set R
  • cardinal number of a set

Inequalities

  • values of x squared from given values of x
  • values of 1 by x from given values of x
  • sign scheme method

Modulus of Real Numbers

  • graph of the modulus function
  • absolute value as a square root function
  • modulus of any expression

Inequalities Involving Modulus

  • modulus of addition and subtraction

The session

You don’t have to just listen.

You

“Sir, I don’t understand why we used this equation here.”

Sir

“Let’s go back one step. Look at what’s rotating.”

Ask your question. Stop the teacher. Ask them to explain it another way.

19 subtopics
The whole chapter: all five parts listed above.
Taught live, not recorded.

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Why this works

A teacher who doesn’t fully own a chapter teaches it half-convincingly, and you absorb the hesitation.

Learn it from someone who owns it, and you absorb their certainty instead.

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