51. Find U A¡ and A¡ if for every positive integer i, a) Aj = {-i, -i + 1, ., –1,0, 1, . , i – 1, i}. b) A; = (-i, i}. c) Aj = [-i, i], that is, the set of real numbers x with -i sxsi. d) Aj = [i, o0), that is, the set of real numbers x with x i. ,-1,0, 1, ..., i – 1, i}. %3D %3D %3D
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
![Find
a) UAi.
b)
Aj.
i=1
50. Find U A¡ and Aj if for every positive integer i,
a) Aj = {i, i + 1, i +2,...}.
b) A; = (0, i}.
c) A; (0, i), that is, the set of real numbers x with
0 <x <i.
d) Aj = (i, 00), that is, the set of real numbers x with
x >i.
51. Find U A¡ and , A¡ if for every positive integer i,
a) Aj = {-i, –i + 1, ., –1, 0, 1, . , i – 1, i}.
b) A; = {-i, i}.
c) Aj = [-i, i], that is, the set of real numbers x with
-i sxsi.
d) Aj = [i, o0), that is, the set of real numbers x with
xz i.
.....
52. Suppose that the universal set is U = {1, 2, 3, 4,
5, 6, 7, 8, 9, 10}. Express each of these sets with bit
strings where the ith bit in the string is 1 if i is in the
set and 0 otherwise.
a) (3, 4, 5}
b) (1, 3, 6, 10}
c) (2, 3, 4, 7, 8, 9}
53. Using the same universal set as in the last problem, find
the set specified by each of these bit strings.
a) 11 1100 1111
b) 01 0111 1000](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F14f33d57-c5b4-4335-8101-7a011dfdb2c7%2F56f1d112-42d6-454e-8dc6-a966e6809d1e%2F07r8mn4_processed.jpeg&w=3840&q=75)
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