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.

Explanation of Solution

The given set is {x:−4<x≤10}.

From the given set, observe that the value of x will not satisfy the point −4 and satisfies the point 10 as the given set is half opened.

Also, note that x satisfies all the points to the right of −4 and to the left from the point 10.

Thus, the given set can be expressed in the interval notation as (−4,10].

Plot the given set in the form of a number line as shown below.

Calculus: Early Transcendentals and MyLab Math with Pearson eText -- Title-Specific Access Card Package (3rd Edition) (Briggs, Cochran, Gillett & Schulz, Calculus Series), Chapter B, Problem 1E

From Figure 1, it can be concluded that the dark shaded region is the region of the given set.

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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.

Explanation of Solution

The given set is {x:−4<x≤10}.

From the given set, observe that the value of x will not satisfy the point −4 and satisfies the point 10 as the given set is half opened.

Also, note that x satisfies all the points to the right of −4 and to the left from the point 10.

Thus, the given set can be expressed in the interval notation as (−4,10].

Plot the given set in the form of a number line as shown below.

Calculus: Early Transcendentals and MyLab Math with Pearson eText -- Title-Specific Access Card Package (3rd Edition) (Briggs, Cochran, Gillett & Schulz, Calculus Series), Chapter B, Problem 1E

From Figure 1, it can be concluded that the dark shaded region is the region of the given set.

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 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.

Explanation of Solution

The given set is {x:−4<x≤10}.

From the given set, observe that the value of x will not satisfy the point −4 and satisfies the point 10 as the given set is half opened.

Also, note that x satisfies all the points to the right of −4 and to the left from the point 10.

Thus, the given set can be expressed in the interval notation as (−4,10].

Plot the given set in the form of a number line as shown below.

Calculus: Early Transcendentals and MyLab Math with Pearson eText -- Title-Specific Access Card Package (3rd Edition) (Briggs, Cochran, Gillett & Schulz, Calculus Series), Chapter B, Problem 1E

From Figure 1, it can be concluded that the dark shaded region is the region of the given set.

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.

Explanation of Solution

The given set is {x:−4<x≤10}.

From the given set, observe that the value of x will not satisfy the point −4 and satisfies the point 10 as the given set is half opened.

Also, note that x satisfies all the points to the right of −4 and to the left from the point 10.

Thus, the given set can be expressed in the interval notation as (−4,10].

Plot the given set in the form of a number line as shown below.

Calculus: Early Transcendentals and MyLab Math with Pearson eText -- Title-Specific Access Card Package (3rd Edition) (Briggs, Cochran, Gillett & Schulz, Calculus Series), Chapter B, Problem 1E

From Figure 1, it can be concluded that the dark shaded region is the region of the given set.

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.

Explanation of Solution

The given set is {x:−4<x≤10}.

From the given set, observe that the value of x will not satisfy the point −4 and satisfies the point 10 as the given set is half opened.

Also, note that x satisfies all the points to the right of −4 and to the left from the point 10.

Thus, the given set can be expressed in the interval notation as (−4,10].

Plot the given set in the form of a number line as shown below.

Calculus: Early Transcendentals and MyLab Math with Pearson eText -- Title-Specific Access Card Package (3rd Edition) (Briggs, Cochran, Gillett & Schulz, Calculus Series), Chapter B, Problem 1E

From Figure 1, it can be concluded that the dark shaded region is the region of the given set.

Answer 8

Expert Solution & Answer

To determine

To state: The meaning of the given set.

Explanation of Solution

The given set is {x:−4<x≤10}.

From the given set, observe that the value of x will not satisfy the point −4 and satisfies the point 10 as the given set is half opened.

Also, note that x satisfies all the points to the right of −4 and to the left from the point 10.

Thus, the given set can be expressed in the interval notation as (−4,10].

Plot the given set in the form of a number line as shown below.

Calculus: Early Transcendentals and MyLab Math with Pearson eText -- Title-Specific Access Card Package (3rd Edition) (Briggs, Cochran, Gillett & Schulz, Calculus Series), Chapter B, Problem 1E

From Figure 1, it can be concluded that the dark shaded region is the region of the given set.

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

To determine

To state: The meaning of the given set.

Answer 12

Explanation of Solution

The given set is {x:−4<x≤10}.

From the given set, observe that the value of x will not satisfy the point −4 and satisfies the point 10 as the given set is half opened.

Also, note that x satisfies all the points to the right of −4 and to the left from the point 10.

Thus, the given set can be expressed in the interval notation as (−4,10].

Plot the given set in the form of a number line as shown below.

Calculus: Early Transcendentals and MyLab Math with Pearson eText -- Title-Specific Access Card Package (3rd Edition) (Briggs, Cochran, Gillett & Schulz, Calculus Series), Chapter B, Problem 1E

From Figure 1, it can be concluded that the dark shaded region is the region of the given set.