Find A ∩ B if A = {2, 5, 8, 11, 14} and B = {1, 3, 5, 7}.

Mathematics

2 answers:

Gwar [14]2 years ago

8 0

Answer:

Step-by-step explanation:

$A=\{2,\ 5,\ 8,\ 11,\ 14\}\\\\B=\{1,\ 3,\ 5,\ 7\}\\\\A\ \cap\ B-\text{the intersection of two sets A and B,}\\\text{ is the set that contains all elements of A that also belong to B.}\\\\\text{Therefore:}\ A\ \cap\ B=\{5\}$

LekaFEV [45]2 years ago

7 0

Answer:

Option 2 - $A\cap B=\{5\}$

Step-by-step explanation:

Given : A = {2, 5, 8, 11, 14} and B = {1, 3, 5, 7}.

To find : $A\cap B$ ?

Solution :

The intersection of two sets A and B is the set containing all elements of A that also belong to B and nothing else.

A = {2, 5, 8, 11, 14}

B = {1, 3, 5, 7}

The common elements are 5.

So, $A\cap B=\{5\}$

Therefore, Option 2 is correct.

You might be interested in

G A professor has two light bulbs in his garage. When both are burned out, they are replaced, and the next day starts with two w

Aneli [31]

Answer:

2/7 or 0.2857

Step-by-step explanation:

The expected time before the first bulb burns out (two bulbs working) is given by the inverse of the probability that a bulb will go out each day:

$E_1 = \frac{1}{0.02}=50\ days$

The expected time before the second bulb burns out (one bulb working), after the first bulb goes out, is given by the inverse of the probability that the second bulb will go out each day:

$E_2 = \frac{1}{0.05}=20\ days$