Respuesta :
[tex]A=\{1,3,5,\ldots,99\}\\B=\{50,55,\ldots,150\}\\\\A\cap B=\{55,65,75,85,95\}[/tex]
Answer:
[tex]A\bigcap B=\left \{ 55,65,75,85,95 \right \}[/tex]
Step-by-step explanation:
Set A contains odd numbers between 0 and 100.
So, the elements in set A are as, Set A[tex]=\left \{ 1,3,5,7,9,11,13,15,...99 \right \}[/tex]
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
[tex]=\left \{ 55,60,65,70,75,80,85,90,... 145\right \}[/tex]
Now, we need to find [tex]A\bigcap B[/tex]
To find [tex]A\bigcap B[/tex] , we need to find the common elements in Set A and Set B.
The common elements in Set A and Set B is [tex]\left \{ 55,65,75,85,95 \right \}[/tex]
So, [tex]A\bigcap B=\left \{ 55,65,75,85,95 \right \}[/tex]