Let A={2,3,4} B={2,5,6} C={5,6,2} and D={6}. Determine if the following statements are true: i). 4€C
ii). 5€C
iii). A=B
iv). B=C

i. 4∈C => False

ii. 5∈C => True

iii. A = B => False

iv. B=C => True

Step-by-step explanation:

Given sets are:

Lets look at the statements one by one.

i. 4∈C

This statement means that 4 is a member of set C. Looking at the members of set C, it can be concluded that the statement is wrong as C doesn't contain 4.

ii. 5∈C

This statement is true as 5 is a member of C.

iii. A=B

This statement states that set A is equal to set B. Two sets are said to be equal if there number of elements and members are same. Set A and Set B have different members so this statement is false.

iv. B=C

Set B and Set C have equal number of members and the members (5,6,2) are also same so the statement is true.

Hence,

i. 4∈C => False

ii. 5∈C => True

iii. A = B => False

iv. B=C => True

hows it hangin lol

step-by-step explanation:

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation: