Question

For any two sets $A=\{12,10,8,6\}$ and $B=\{1,2,3,4,5,6\},$ select the correct representation for the relation $T$ given as: $T=\left\{\right(a,b):a\in A,b\in B,a-b=6\}.$

• A.
• B.
• C. $T=\left\{\right(12,6),(10,4),(8,2),(6,0\left)\right\}$
• D. $T=\left\{\right(12,6),(10,4),(8,2\left)\right\}$

Answer 1

Answer: (A), (B), (D)

$T=\left\{\right(12,6),(10,4),(8,2\left)\right\}$

Given two sets: $A=\{12,10,8,6\}$ and $B=\{1,2,3,4,5,6\}$
Now, the relation $T$ is given as:
$T=\left\{\right(a,b):a\in A,b\in B,a-b=6\}$
In roster form, we can write it as:
$T=\left\{\right(12,6),(10,4),(8,2\left)\right\}$
In venn diagram, we can represent this as:

And graphically, we can represent the same as: