Show that if $A \subset B,$ then $(C-B) \subset( C-A)$

Vedclass pdf generator app on play store
Vedclass iOS app on app store

Let $A \subset B$

To show: $C-B \subset C-A$

Let $x \in C-B$

$\Rightarrow x \in C$ and $x \notin B$

$\Rightarrow x \in C$ and $x \notin A[A \subset B]$

$\Rightarrow x \in C-A$

$\therefore C-B \subset C-A$

Similar Questions

In a school, there are three types of games to be played. Some of the students play two types of games, but none play all the three games. Which Venn diagrams can justify the above statement ?

  • [JEE MAIN 2021]

If $A = \{2, 3, 4, 8, 10\}, B = \{3, 4, 5, 10, 12\}, C = \{4, 5, 6, 12, 14\}$ then $(A \cap B) \cup (A \cap C)$ is equal to

Consider the sets $A$ and $B$ of $A=\{2,4,6,8\}$ and $B=\{6,8,10,12\}$ Find $A \cap B .$

 

Which of the following pairs of sets are disjoint 

$\{a, e, i, o, u\}$ and $\{c, d, e, f\}$

If $A, B$ and $C$ are non-empty sets, then $(A -B)  \cup (B -A)$ equals