1. Fill in each un-shaded cell of the following chart with one of the following:
ID: 3788938 • Letter: 1
Question
1. Fill in each un-shaded cell of the following chart with one of the following: E (empty), F (finite), C (countably infinite), or U (uncountably infinite) to indicate the result of performing the intersection operation between various sets of numbers.
INTERSECTION
N (naturals)
Z (integers)
Q (rationals)
Q’ (irrationals)
R (reals)
N (naturals)
Z (integers)
Q (rationals)
Q’ (irrationals)
R (reals)
INTERSECTION
N (naturals)
Z (integers)
Q (rationals)
Q’ (irrationals)
R (reals)
N (naturals)
Z (integers)
Q (rationals)
Q’ (irrationals)
R (reals)
Explanation / Answer
natural numbers are countably infinite
integers are countably infinite
rational are countable infinite
irrational are uncountable
Real numbers are uncountable
natural numbers-> 1,2,3...(only positive)
integers->positiive + negative +0
rational-those can be write in ratio
irrational-irrational number is a real number that cannot be expressed as a ratio of integers
real numbers-rational+irrational
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