For each of the following propositions, identify simple propositions, express the compound proposition in symbolic form, and determine whether it is true or false: The world is flat or zero is an even integer. If 432,802 is a multiple of 4, then 432,802 is even. 5 is a prime number and 6 is not divisible by 4. 3 ∈ Z and 3 ∈ Q . 2 / 3 ∈ Z and 2 / 3 ∈ Q . The sum of two even integers is even and the sum of two odd integers is odd.

a) True

b) True

c) True

d) True

e) False

f) False

Step-by-step explanation:

a) The world is flat or Zero is an even Integer

B )  If 432,802 is a multiple of 4, then 432,802 is even

       F          T        T

C)  5 is a prime number and 6 is not divisible by 4

where p = 5 is a prime number  and q =  6 is not divisible by 4

D)  3 ∈ Z and 3 ∈ Q

where p =  3 ∈ Z   and q = 3 ∈ Q

E)  2 / 3 ∈ Z and 2 / 3 ∈ Q

where  p =  2 / 3 ∈ Z ( false )   and q = 2 / 3 ∈ Q ( true ) hence p ∧ q = false

F) The sum of two even integers is even and the sum of two odd integers is odd.

where  p = The sum of two even integers is even and q = the sum of two odd integers is odd.

step-by-step explanation:

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(1, –1), (16, –4), (36, –6)

step-by-step explanation:

given that the function is

this can also be written as

we have to graph this function and check which list of points lie on the graph

see attachment for graph:

we find that the points lying are (1,-1) (16,-4) and (36,-6)

since square root is there we find that x can only be posiitve but y can be since square root both positive and negative.