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.

Question

Want to see more full solutions like this?

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.

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!

Students have asked these similar questions

Can you answer this question and give step by step and why and how to get it. Can you write it (numerical method)

There are three options for investing $1150. The first earns 10% compounded annually, the second earns 10% compounded quarterly, and the third earns 10% compounded continuously. Find equations that model each investment growth and use a graphing utility to graph each model in the same viewing window over a 20-year period. Use the graph to determine which investment yields the highest return after 20 years. What are the differences in earnings among the three investment? STEP 1: The formula for compound interest is A = nt = P(1 + − − ) n², where n is the number of compoundings per year, t is the number of years, r is the interest rate, P is the principal, and A is the amount (balance) after t years. For continuous compounding, the formula reduces to A = Pert Find r and n for each model, and use these values to write A in terms of t for each case. Annual Model r=0.10 A = Y(t) = 1150 (1.10)* n = 1 Quarterly Model r = 0.10 n = 4 A = Q(t) = 1150(1.025) 4t Continuous Model r=0.10 A = C(t) =…

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.