Answer to Question #347772 in Discrete Mathematics for bel

Question

Let A = {1, 2, 3, 4}, B = {3, 4, 5, 6, 7}, C = {2, 3, 8, 9}. Perform the following

a.

𝐴∪𝐵

b.

𝐴∩𝐵

c.

𝐴∪𝐶

d.

𝐴∩𝐶

Answer 1

a.

Elements from $A$ or $B:$ $A =\{1, 2, 3, 4\}$ and additional from $B$ elements $5,6,7$

$$A\cup B=\{1,2,3,4,5,6,7\}$$

b.

Elements common for $A$ and $B$

$$A\cap B=\{3,4\}$$

c.

Elements from $A$ or $B:$ $A =\{1, 2, 3, 4\}$ and additional from $C$ elements $8,9$

$$A\cup C=\{1,2,3,4,8,9\}$$

d.

Elements common for $A$ and $C$

$$A\cap C=\{2,3\}$$