Answer:
Solution to determine whether each of these sets is countable or uncountable
Step-by-step explanation:
If A is countable then there exists an injective mapping f : A → Z+ which, for any S ⊆ A gives an injective mapping g : S → Z+ thereby establishing that S is countable. The contrapositive of this is: if a set is not countable then any superset is not countable.
(a) The rational numbers are countable (done in class) and this is a subset of the rational. Hence this set is also countable.
(b) this set is not countable. For contradiction suppose the elements of this set in (0,1) are enumerable. As in the diagonalization argument done in class we construct a number, r, in (0,1) whose decimal representation has as its i th digit (after the decimal) a digit different from the i th digit (after the decimal) of the i th number in the enumeration. Note that r can be constructed so that it does not have a 0 in its representation. Further, by construction r is different from all the other numbers in the enumeration thus yielding a contradiction
Answer:
36
Step-by-step explanation:
The length of 1 1/2 units is equivalent to 3/2 = 6/4 = 6×(1/4) = 6 cubes.
The width of 1/2 units is equivalent to 2/4 = 2×(1/4) = 2 cubes.
The height of 3/4 units is equivalent to 3×(1/4) = 3 cubes.
Then, in terms of cubes, the dimensions are 6 × 2 × 3. The volume is the product of these dimensions, so is ...
... 6 × 2 × 3 = 36 . . . . cubes
Answer:
the answer is 86
Step-by-step explanation:
the answer is 86 because if all of her shirts are from the mall and she has 86 of them, 100% of 86 is 86
Answer:the slope is 20
Step-by-step explanation: