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.

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

Single Variable Calculus: Early Transcendentals, Books a la Carte, and MyLab Math with Pearson eText -- Title-Specific Access Card Package (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!

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.

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

Single Variable Calculus: Early Transcendentals, Books a la Carte, and MyLab Math with Pearson eText -- Title-Specific Access Card Package (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 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

Single Variable Calculus: Early Transcendentals, Books a la Carte, and MyLab Math with Pearson eText -- Title-Specific Access Card Package (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

Single Variable Calculus: Early Transcendentals, Books a la Carte, and MyLab Math with Pearson eText -- Title-Specific Access Card Package (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

Single Variable Calculus: Early Transcendentals, Books a la Carte, and MyLab Math with Pearson eText -- Title-Specific Access Card Package (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

Single Variable Calculus: Early Transcendentals, Books a la Carte, and MyLab Math with Pearson eText -- Title-Specific Access Card Package (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

Single Variable Calculus: Early Transcendentals, Books a la Carte, and MyLab Math with Pearson eText -- Title-Specific Access Card Package (3rd Edition), Chapter B, Problem 1E

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