For each of these statements find a domain for which the statement is true and a domain for which the statement is false. a.) Everyone is studying discrete mathematics. b.) Everyone is older than 21 years. c.) Every two people have the same mother. d.) No two different people have the same grandmother.

a.

Everyone in the Discrete Math class

Everyone in the city

b.

People who receive their pension contribution

Students in a kindergarten class

c.

Twins in the world

Everyone in the world

d.

Miley Cyrus and Dua Lipa

Two blood brothers

Step-by-step explanation:

What we will do is go through each statement and we will give it a true domain and a false domain:

a.) Everyone is studying discrete mathematics.

Domain true = {Everyone in the Discrete Math class}

True because they belong to the math group

Domain false = {Everyone in the city}

False because in the city not everyone gives this type of mathematics.

b.) Everyone is older than 21 years.

Domain true = {People who receive their pension contribution}

True because to receive a pension you have to work for many years.

Domain false = {Students in a kindergarten class}

False because at 21 years old I shouldn't be in kindergarten anymore

c.) Every two people have the same mother.

True domain = {Twins in the world}

True because the twins have the same mother.

Domain false = {Everyone in the world}

False because not everyone has the same mother

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

True domain = {Miley Cyrus and Dua Lipa}

True because Miley and Dua don't have the same grandmother

Domain 2 = {Two blood brothers}

False because two blood brothers have the same grandmother

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

add an image

step-by-step explanation: