Let $A$ and $B$ be two non-empty subsets of a set $X$ such that $A$ is not a subset of $B$. Then:

  • A
    $A$ is always a subset of the complement of $B$.
  • B
    $B$ is always a subset of $A$.
  • C
    $A$ and $B$ are always disjoint sets.
  • D
    None of the above.

Explore More

Similar Questions

Let $A = \{1, 2, 3, 4, 5, 6\}$. Insert the appropriate symbol $\in$ or $\notin$ in the blank space:
$8 \dots A$

Write the following as intervals: $\{ x:x \in R, 3 \le x \le 4 \}$

If $A, B,$ and $C$ are three sets,then $A \cap (B \cup C) =$

In each of the following,determine whether the statement is true or false. If it is true,prove it. If it is false,give a counterexample.
If $A \not\subset B$ and $B \not\subset C$,then $A \not\subset C$.

If $A = \{x \mid x \text{ is a prime number, } 0 \leq x \leq 9\}$,then the number of elements of the power set of $A$ is

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo