3. [6 pts] give an example of two uncountable sets a and b such that anb is (a) finite, (b) countably infinite, (c) uncountably infinite.

Answer with explanation:

Let two uncountable sets A and B .

(a).Let A= [2,3]=uncountable

B= [3,4)=uncountable

={3}= finite

Hence, is finite set .

(b).Let A= Set of positive real  numbers=Uncountable

B= Set of   negative real numbers and positive integers= Uncountable

Now, =Set of positive integer numbers  =countably infinite set.

Hence, is countably infinite .

(c). Let A= Set of real numbers=Uncountable

B= Set of irrational numbers  =Uncountable

Then, = Set of irrational numbers= Uncountable.

Hence, is uncountable when A is set of real numbers and B is set of irrational numbers.

answer: .75 km

step-by-step explanation:

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have