Explanation Given information: Given intervals are I 1 = ( − ∞ , 10 ) ; I 2 = ( 10 , ∞ ) Calculation: A ∪ B represents the union of sets A and B and the set includes the elements that are either in set A or set B. A ∩ B represents the intersection of sets A and B and the set includes the elements that are common to both sets A and B. The union is given by the interval that includes elements obtained by combing both intervals i.e. I 1 ∪ I 2 = ( − ∞ , 10 ) ∪ ( 10 , ∞ ) The union includes all the terms to the left of 10 and also to the right of 10 except 10 I 1 ∪ I 2 = ( − ∞ , ∞ ) − { 10 } The intersection is given by the interval that is in common to both the intervals i

Pearson eText for Precalculus: A Unit Circle Approach -- Instant Access (Pearson+)

3rd Edition

ISBN: 9780137442591

Author: J. S. Ratti, Marcus McWaters

Publisher: PEARSON+

See similar textbooks

Concept explainers

Minimization

In mathematics, traditional optimization problems are typically expressed in terms of minimization. When we talk about minimizing or maximizing a function, we refer to the maximum and minimum possible values of that function. This can be expressed in ter…

Maxima and Minima

The extreme points of a function are the maximum and the minimum points of the function. A maximum is attained when the function takes the maximum value and a minimum is attained when the function takes the minimum value.

Derivatives

A derivative means a change. Geometrically it can be represented as a line with some steepness. Imagine climbing a mountain which is very steep and 500 meters high. Is it easier to climb? Definitely not! Suppose walking on the road for 500 meters. Which …

Concavity

In calculus, concavity is a descriptor of mathematics that tells about the shape of the graph. It is the parameter that helps to estimate the maximum and minimum value of any of the functions and the concave nature using the graphical method. We use the …

Videos

Question

Chapter A.1, Problem 23E

To determine

To find the union and the intersection of the given intervals.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter A.1, Problem 22E

Chapter A.1, Problem 24E

Students have asked these similar questions

Tangent planes Find an equation of the plane tangent to the following surfaces at the given points (two planes and two equations).

Vectors u and v are shown on the graph.Part A: Write u and v in component form. Show your work. Part B: Find u + v. Show your work.Part C: Find 5u − 2v. Show your work.

Vectors u = 6(cos 60°i + sin60°j), v = 4(cos 315°i + sin315°j), and w = −12(cos 330°i + sin330°j) are given. Use exact values when evaluating sine and cosine.Part A: Convert the vectors to component form and find −7(u • v). Show every step of your work.Part B: Convert the vectors to component form and use the dot product to determine if u and w are parallel, orthogonal, or neither. Justify your answer.

Chapter A.1 Solutions

Pearson eText for Precalculus: A Unit Circle Approach -- Instant Access (Pearson+)

Ch. A.1 - In Exercises 1-4, write each of the following...Ch. A.1 - In Exercises 1-4, write each of the following...Ch. A.1 - In Exercises 1-4, write each of the following...Ch. A.1 - Prob. 4E Ch. A.1 - Prob. 5E Ch. A.1 - Prob. 6E Ch. A.1 - Prob. 7E Ch. A.1 - Prob. 8E Ch. A.1 - In Exercises 5-10, classify each of the following...Ch. A.1 - Prob. 10E

Ch. A.1 - Prob. 11E Ch. A.1 - Prob. 12E Ch. A.1 - Prob. 13E Ch. A.1 - Prob. 14E Ch. A.1 - Prob. 15E Ch. A.1 - Prob. 16E Ch. A.1 - Prob. 17E Ch. A.1 - Prob. 18E Ch. A.1 - Prob. 19E Ch. A.1 - Prob. 20E Ch. A.1 - Prob. 21E Ch. A.1 - Prob. 22E Ch. A.1 - Prob. 23E Ch. A.1 - Prob. 24E Ch. A.1 - In Exercises 25-38, rewrite each expression...Ch. A.1 - Prob. 26E Ch. A.1 - Prob. 27E Ch. A.1 - Prob. 28E Ch. A.1 - Prob. 29E Ch. A.1 - Prob. 30E Ch. A.1 - Prob. 31E Ch. A.1 - Prob. 32E Ch. A.1 - Prob. 33E Ch. A.1 - Prob. 34E Ch. A.1 - Prob. 35E Ch. A.1 - Prob. 36E Ch. A.1 - Prob. 37E Ch. A.1 - Prob. 38E Ch. A.1 - Prob. 39E Ch. A.1 - Prob. 40E Ch. A.1 - Prob. 41E Ch. A.1 - Prob. 42E Ch. A.1 - Prob. 43E Ch. A.1 - Prob. 44E Ch. A.1 - Prob. 45E Ch. A.1 - Prob. 46E Ch. A.1 - Prob. 47E Ch. A.1 - Prob. 48E Ch. A.1 - Prob. 49E Ch. A.1 - Prob. 50E Ch. A.1 - Prob. 51E Ch. A.1 - Prob. 52E Ch. A.1 - Prob. 53E Ch. A.1 - Prob. 54E Ch. A.1 - Prob. 55E Ch. A.1 - Prob. 56E Ch. A.1 - Prob. 57E Ch. A.1 - Prob. 58E Ch. A.1 - Prob. 59E Ch. A.1 - Prob. 60E Ch. A.1 - Prob. 61E Ch. A.1 - Prob. 62E Ch. A.1 - Prob. 63E Ch. A.1 - Prob. 64E Ch. A.1 - Prob. 65E Ch. A.1 - Prob. 66E Ch. A.1 - Prob. 67E Ch. A.1 - In Exercises 59-68, evaluate each expression for...Ch. A.1 - Prob. 69E Ch. A.1 - Prob. 70E Ch. A.1 - Prob. 71E Ch. A.1 - Prob. 72E Ch. A.1 - Prob. 73E Ch. A.1 - Prob. 74E Ch. A.1 - Prob. 75E Ch. A.1 - Prob. 76E Ch. A.1 - Prob. 77E Ch. A.1 - Prob. 78E Ch. A.1 - Prob. 79E Ch. A.1 - Prob. 80E Ch. A.1 - Prob. 81E Ch. A.1 - Prob. 82E Ch. A.1 - Prob. 83E Ch. A.1 - Prob. 84E Ch. A.1 - Prob. 85E Ch. A.1 - Prob. 86E Ch. A.1 - Prob. 87E Ch. A.1 - Prob. 88E Ch. A.1 - Prob. 89E Ch. A.1 - Prob. 90E Ch. A.1 - Prob. 91E Ch. A.1 - Prob. 92E Ch. A.1 - Prob. 93E Ch. A.1 - Prob. 94E Ch. A.1 - Prob. 95E Ch. A.1 - Prob. 96E Ch. A.1 - Prob. 97E Ch. A.1 - Prob. 98E Ch. A.1 - Prob. 99E Ch. A.1 - Prob. 100E Ch. A.1 - Prob. 101E Ch. A.1 - Prob. 102E Ch. A.1 - Prob. 103E Ch. A.1 - Prob. 104E Ch. A.1 - Prob. 105E Ch. A.1 - Prob. 106E Ch. A.1 - Prob. 107E Ch. A.1 - Prob. 108E Ch. A.1 - Prob. 109E Ch. A.1 - In Exercises 101-134, simplify each expression....Ch. A.1 - Prob. 111E Ch. A.1 - Prob. 112E Ch. A.1 - Prob. 113E Ch. A.1 - Prob. 114E Ch. A.1 - Prob. 115E Ch. A.1 - Prob. 116E Ch. A.1 - Prob. 117E Ch. A.1 - Prob. 118E Ch. A.1 - Prob. 119E Ch. A.1 - Prob. 120E Ch. A.1 - Prob. 121E Ch. A.1 - Prob. 122E Ch. A.1 - Prob. 123E Ch. A.1 - Prob. 124E Ch. A.1 - Prob. 125E Ch. A.1 - Prob. 126E Ch. A.1 - Prob. 127E Ch. A.1 - Prob. 128E Ch. A.1 - Prob. 129E Ch. A.1 - Prob. 130E Ch. A.1 - Prob. 131E Ch. A.1 - Prob. 132E Ch. A.1 - Prob. 133E Ch. A.1 - Prob. 134E Ch. A.1 - Prob. 135E Ch. A.1 - Prob. 136E Ch. A.1 - Prob. 137E Ch. A.1 - Prob. 138E Ch. A.1 - Prob. 139E Ch. A.1 - Prob. 140E Ch. A.1 - Prob. 141E Ch. A.1 - Prob. 142E

Knowledge Booster

$Calculus$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

To find the union and the intersection of the given intervals.

Solution Summary: The author explains how to determine the union and intersection of the given intervals.

Concept explainers

Videos

To find the union and the intersection of the given intervals.

Want to see the full answer?

Chapter A.1 Solutions