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For each fo these statements find a domain for which the statements is true and a domain for which the statement is false.

  1. Everyone is studying discrete mathematics.
  2. Everyone is older than 21 years.
  3. Everyone two people have the same mother.
  4. No two different people have the same grandmother.

1 Answer

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Domain 1 = Domain that will make it True
Domain 2 = Domain that will make it false

2

a)
" Everyone is studying discrete mathematics."

Domain 1 = "Everyone in the Discrete Math class"

Domain 2 = "Everyone in the school"

Domain 1 will make the statement true

Domain 2 will make the statement false b/c some students will not have to take discrete math.

3

b)
"Everyone is older than 21 years. "

Domain 1 = "People who are eligible to be president "

Domain 2 = "Students in a kindergarten class"

Domain 1 will make the statement true b/c the age requirement for president is 35.

Domain 2 will make the statement false b/c kindergartners are not 21 years of age

4

c)
"Every two people have the same mother."

Domain 1 = "Twins in the world"
Domain 2 = "Everyone in the world"

Domain 1 will make the statement true because twins have the same mother

Domain 2 will make the statement false because not everyone has the same mother

5

d)
" No two different people have the same grandmother. "

Domain 1 = "Hilary Clinton and Bernie Sanders"

Domain 2 = "Everyone in the world"

Domain will make the statement true b/c Hilary and Bernie do not have the same grandmother

Domain 2 will make the statement false b/c there are siblings who can have the same grandmother.

 

 

Result

a) Domain 1 = "Everyone in the Discrete Math class"
Domain 2 = "Everyone in the school"
b) Domain 1 = "People who are eligible to be president "
Domain 2 = "Students in a kindergarten class"
c) Domain 1 = "Twins in the world"
Domain 2 = "Everyone in the world"
d) Domain 1 = "Hilary Clinton and Bernie Sanders"
Domain 2 = "Everyone in the world"

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