State the meaning of { x : –4 < x ≤ 10}. Express the set { x : –4 < x ≤ 10} using interval notation and draw it on a number line.

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Answer 1

Textbook Question

Chapter B, Problem 1E

State the meaning of {x: –4 < x ≤ 10}. Express the set {x: –4 < x ≤ 10} using interval notation and draw it on a number line.

Expert Solution & Answer

To determine

To state: The meaning of the given set.

Answer to Problem 1E

The interval notation of the given set is (−4,10] .

Explanation of Solution

Given:

The set is {x:−4<x≤10} .

Meaning:

The given set denotes all those points in the number line which is present in the right of the point −4 that is points greater than −4 and the points present in the left of 10 that is points less than or equal to 10.

Thus, the interval notation of the given set is (−4,10] .

The set can be plotted in the number line as given below in Figure 1

Calculus, Single Variable: Early Transcendentals (3rd Edition), Chapter B, Problem 1E

From Figure 1, it is observed that the darken region is the set given.

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Answer 2

Textbook Question

Chapter B, Problem 1E

State the meaning of {x: –4 < x ≤ 10}. Express the set {x: –4 < x ≤ 10} using interval notation and draw it on a number line.

Expert Solution & Answer

To determine

To state: The meaning of the given set.

Answer to Problem 1E

The interval notation of the given set is (−4,10] .

Explanation of Solution

Given:

The set is {x:−4<x≤10} .

Meaning:

The given set denotes all those points in the number line which is present in the right of the point −4 that is points greater than −4 and the points present in the left of 10 that is points less than or equal to 10.

Thus, the interval notation of the given set is (−4,10] .

The set can be plotted in the number line as given below in Figure 1

Calculus, Single Variable: Early Transcendentals (3rd Edition), Chapter B, Problem 1E

From Figure 1, it is observed that the darken region is the set given.

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Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 3

Textbook Question

Chapter B, Problem 1E

State the meaning of {x: –4 < x ≤ 10}. Express the set {x: –4 < x ≤ 10} using interval notation and draw it on a number line.

Expert Solution & Answer

To determine

To state: The meaning of the given set.

Answer to Problem 1E

The interval notation of the given set is (−4,10] .

Explanation of Solution

Given:

The set is {x:−4<x≤10} .

Meaning:

The given set denotes all those points in the number line which is present in the right of the point −4 that is points greater than −4 and the points present in the left of 10 that is points less than or equal to 10.

Thus, the interval notation of the given set is (−4,10] .

The set can be plotted in the number line as given below in Figure 1

Calculus, Single Variable: Early Transcendentals (3rd Edition), Chapter B, Problem 1E

From Figure 1, it is observed that the darken region is the set given.

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Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 4

Textbook Question

Chapter B, Problem 1E

State the meaning of {x: –4 < x ≤ 10}. Express the set {x: –4 < x ≤ 10} using interval notation and draw it on a number line.

Expert Solution & Answer

To determine

To state: The meaning of the given set.

Answer to Problem 1E

The interval notation of the given set is (−4,10] .

Explanation of Solution

Given:

The set is {x:−4<x≤10} .

Meaning:

The given set denotes all those points in the number line which is present in the right of the point −4 that is points greater than −4 and the points present in the left of 10 that is points less than or equal to 10.

Thus, the interval notation of the given set is (−4,10] .

The set can be plotted in the number line as given below in Figure 1

Calculus, Single Variable: Early Transcendentals (3rd Edition), Chapter B, Problem 1E

From Figure 1, it is observed that the darken region is the set given.

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Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 5

Textbook Question

Answer 6

Textbook Question

Answer 7

Expert Solution & Answer

To determine

To state: The meaning of the given set.

Answer to Problem 1E

The interval notation of the given set is (−4,10] .

Explanation of Solution

Given:

The set is {x:−4<x≤10} .

Meaning:

The given set denotes all those points in the number line which is present in the right of the point −4 that is points greater than −4 and the points present in the left of 10 that is points less than or equal to 10.

Thus, the interval notation of the given set is (−4,10] .

The set can be plotted in the number line as given below in Figure 1

Calculus, Single Variable: Early Transcendentals (3rd Edition), Chapter B, Problem 1E

From Figure 1, it is observed that the darken region is the set given.

Answer 8

Expert Solution & Answer

To determine

To state: The meaning of the given set.

Answer to Problem 1E

The interval notation of the given set is (−4,10] .

Explanation of Solution

Given:

The set is {x:−4<x≤10} .

Meaning:

The given set denotes all those points in the number line which is present in the right of the point −4 that is points greater than −4 and the points present in the left of 10 that is points less than or equal to 10.

Thus, the interval notation of the given set is (−4,10] .

The set can be plotted in the number line as given below in Figure 1

Calculus, Single Variable: Early Transcendentals (3rd Edition), Chapter B, Problem 1E

From Figure 1, it is observed that the darken region is the set given.

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

To determine

To state: The meaning of the given set.

Answer 12

Answer to Problem 1E

The interval notation of the given set is (−4,10] .

Answer 13

Explanation of Solution

Given:

The set is {x:−4<x≤10} .

Meaning:

The given set denotes all those points in the number line which is present in the right of the point −4 that is points greater than −4 and the points present in the left of 10 that is points less than or equal to 10.

Thus, the interval notation of the given set is (−4,10] .

The set can be plotted in the number line as given below in Figure 1

Calculus, Single Variable: Early Transcendentals (3rd Edition), Chapter B, Problem 1E

From Figure 1, it is observed that the darken region is the set given.