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.

a

step-by-step explanation:

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answer: for each 3 girls there is 2 boys . 3: 2

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