1. List the members of these sets.a) {x |x is a real number such that x? = 1}b) {x |x is a positive integer less than 12}3. For each of these pairs of sets, determine whether the firstis a subset of the second, the second is a subset of the first,or neither is a subset of the other.a) the set of airline flights from New York to New Delhi,the set of nonstop airline flights from New York toNew Delhi5. Determine whether each of these pairs of sets are equal.a) {1, 3, 3, 3, 5, 5, 5, 5, 5}, {5, 3, 1}b) {{1}}, {1, {1}}6.c) Ø, {Ø} 7. For each of the following sets, determine whether 2 is anelement of that set.a) {x e R|x is an integer greater than 1}b) {x e R|x is the square of an integer}c) {2,{2}}e) {{2},{2,{2}}}d) {{2},{{2}}}f) {{{2}}}9. Determine whether each of these statements is true orfalse.a) 0 € Øc) {0} CØe) {0} € {0}g) {아} 드 {아b) ØE {0}d) ØC {0}f) {0} C {0}11. Determine whether each of these statements is true orfalse.c) {x} € {x}a) x e {x}d) {x} € {{x}}{x} 5 {x} (qf) ØE {x}{x} 5ø (a

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List the members of these sets. a) {x |x is a real number such that x2 = 1} b) {x |x is a positive integer less than 12}

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Topological Sort

Topological sort is a sorting technique that sets up a hierarchy in a process. In this technique, when a directed network has nodes connected by arrows, the root node is placed before the successor node.

Question

1. List the members of these sets.
a) {x |x is a real number such that x? = 1}
b) {x |x is a positive integer less than 12}
3. For each of these pairs of sets, determine whether the first
is a subset of the second, the second is a subset of the first,
or neither is a subset of the other.
a) the set of airline flights from New York to New Delhi,
the set of nonstop airline flights from New York to
New Delhi
5. Determine whether each of these pairs of sets are equal.
a) {1, 3, 3, 3, 5, 5, 5, 5, 5}, {5, 3, 1}
b) {{1}}, {1, {1}}
6.
c) Ø, {Ø}

7. For each of the following sets, determine whether 2 is an
element of that set.
a) {x e R|x is an integer greater than 1}
b) {x e R|x is the square of an integer}
c) {2,{2}}
e) {{2},{2,{2}}}
d) {{2},{{2}}}
f) {{{2}}}
9. Determine whether each of these statements is true or
false.
a) 0 € Ø
c) {0} CØ
e) {0} € {0}
g) {아} 드 {아
b) ØE {0}
d) ØC {0}
f) {0} C {0}
11. Determine whether each of these statements is true or
false.
c) {x} € {x}
a) x e {x}
d) {x} € {{x}}
{x} 5 {x} (q
f) ØE {x}
{x} 5ø (a

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