Question

Let set A = {odd numbers between 0 and 100} and set B = {numbers between 50 and 150 that are evenly divisible by 5}. What is A ∩ B?

Answer 1

Answer:

$A\bigcap B=\left \{ 55,65,75,85,95 \right \}$

Step-by-step explanation:

Set A contains odd numbers between 0 and 100.

So, the elements in set A are as, Set A$=\left \{ 1,3,5,7,9,11,13,15,...99 \right \}$

Set B contains the numbers between 50 and 150, that are evenly divisible by 5.

So, the elements in set B are are as, Set B

$=\left \{ 55,60,65,70,75,80,85,90,... 145\right \}$

Now, we need to find $A\bigcap B$

To find  $A\bigcap B$ , we need to find the common elements in Set A and Set B.

The common elements in Set A and Set B is $\left \{ 55,65,75,85,95 \right \}$

So, $A\bigcap B=\left \{ 55,65,75,85,95 \right \}$

Answer 2

$A=\{1,3,5,\ldots,99\}\\B=\{50,55,\ldots,150\}\\\\A\cap B=\{55,65,75,85,95\}$