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.

Want to see more full solutions like this?

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.

Want to see more full solutions like this?

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.