Suppose A = [2, 4, 6, 8, 10, 12] B = [1, 4, 9, 16] and C = [2, 10]. Find of the following is TRUEA’ = [1,2, 9, 10, 16]A U B = [4]C U A = [2, 10]A U C = [2, 4, 6, 8, 10, 12]
Question
Suppose A = [2, 4, 6, 8, 10, 12] B = [1, 4, 9, 16] and C = [2, 10]. Find of the following is TRUEA’ = [1,2, 9, 10, 16]A U B = [4]C U A = [2, 10]A U C = [2, 4, 6, 8, 10, 12]
Solution
The given statements are mathematical expressions related to sets. Let's evaluate each one:
-
A’ = [1,2, 9, 10, 16]: This statement is saying that the complement of set A (i.e., all elements not in A) is [1,2, 9, 10, 16]. This is FALSE because the complement of A would include all numbers not in A, and 2 and 10 are in A.
-
A U B = [4]: This statement is saying that the union of sets A and B (i.e., all elements that are in A, in B, or in both) is [4]. This is FALSE because the union of A and B includes more than just 4.
-
C U A = [2, 10]: This statement is saying that the union of sets C and A is [2, 10]. This is FALSE because the union of C and A includes all elements in both sets, not just 2 and 10.
-
A U C = [2, 4, 6, 8, 10, 12]: This statement is saying that the union of sets A and C is [2, 4, 6, 8, 10, 12]. This is TRUE because the union of A and C includes all elements in both sets, which are indeed [2, 4, 6, 8, 10, 12].
Similar Questions
Suppose A = [2, 4, 6, 8, 10, 12] B = [1, 4, 9, 16] and C = [2, 10]. Find of the following is TRUE
Let U = {1,2,3,4,5,6,7,8,9}a) Given A = {2,4,6,8} (5)B = {2,3,5,7,}Verify (A ∪ B)’ = A’ ∩ B’b) Given A = {3,5,7,9,11} (5)B = {7,9,11,13}C = {15,17}Find A ∩ (B ∪ C)
If U= {3,4,7,8,9,1,0}, B= {3,4,7} and C= {4,7,8,9}. Find B'-C.
Let A = {6, 10} ; B = {4} and C = {10, 4}. Find (A ⋃ B) ⋂ C
Consider the sets:U = {1, 2, {1}, {2}, {1, 2}} A = {1, 2, {1}} B = {{1}, {1, 2}} C = {2, {1}, {2}}Ƥ (A) is the set:a.{⊘, {1}, {2}, {1, 2}, {1, 2, {1}}}b.{⊘, {1}, {2}, {{1}}, {1, 2}, {1, {1}}, {2, {1}}, {1, 2, {1}}}c.{⊘, {1}, {2}, {{1, 2}}, {1, {1}}, {2, {1}}, {1, 2, {1, 2}}}d.{⊘, {1}, {2}, {{1}}, {1, {1}}, {2, {1}}, {1, 2, {1}}}
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.