Write interval notation for the given set or graph. { x | − 4 ≤ x < 5 }

Question

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Answer 1

Textbook Question

Chapter K, Problem 1DE

Write interval notation for the given set or graph.

{ x | − 4 ≤ x < 5 }

Expert Solution & Answer

To determine

To calculate: The interval notation for the provided set {x|−4≤x<5}.

Answer to Problem 1DE

Solution:

The interval notation of the provided set {x|−4≤x<5} is [−4,5).

Explanation of Solution

Given Information:

The provided set is {x|−4≤x<5}.

Formula used:

To write the inequality in the interval notation following steps are followed:

Step 1. Open interval is represented by left or right parentheses “(” or “)”. Left parentheses represent the value to the right of it and the point excluded. Right parentheses represent the value to the left of it and the point excluded.

Step 2. Close interval is represented by the brackets, either left “[” or right “]” brackets. Left bracket represents the value to the right of it and the point included. Right brackets represent the value to the left of it and the point included.

Step 3. If in the interval notation, ∞ or −∞ is included then instead of using brackets, parentheses are uses.

Calculation:

Consider the provided set:

{x|−4≤x<5}

Using the rule of interval notation, the above set in interval notation is:

{x|−4≤x<5}=[−4,5)

Therefore, the set in interval notation is [−4,5).

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Answer questions 8.2.11 and 8.2.12 respectively

8.4.2 An article in Knee Surgery, Sports Traumatology, Arthroscopy [“Arthroscopic Meniscal Repair with an Absorbable Screw: Results and Surgical Technique” (2005, Vol. 13, pp. 273–279)] showed that only 25 out of 37 tears (67.6%) located between 3 and 6 mm from the meniscus rim were healed. a. Calculate a two-sided 95% confidence interval on the proportion of such tears that will heal. b. Calculate a 95% lower confidence bound on the proportion of such tears that will heal. 8.4.3 An article in the Journal of the American Statistical Association [“Illustration of Bayesian Inference in Normal Data Models Using Gibbs Sampling” (1990, Vol. 85, pp. 972–985)] measured the weight of 30 rats under experiment controls. Suppose that 12 were underweight rats. a. Calculate a 95% two-sided confidence interval on the true proportion of rats that would show underweight from the experiment. b. Using the point estimate of p obtained from the preliminary sample, what sample size is needed to be 95%…

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Answer 2

Textbook Question

Chapter K, Problem 1DE

Write interval notation for the given set or graph.

{ x | − 4 ≤ x < 5 }

Expert Solution & Answer

To determine

To calculate: The interval notation for the provided set {x|−4≤x<5}.

Answer to Problem 1DE

Solution:

The interval notation of the provided set {x|−4≤x<5} is [−4,5).

Explanation of Solution

Given Information:

The provided set is {x|−4≤x<5}.

Formula used:

To write the inequality in the interval notation following steps are followed:

Step 1. Open interval is represented by left or right parentheses “(” or “)”. Left parentheses represent the value to the right of it and the point excluded. Right parentheses represent the value to the left of it and the point excluded.

Step 2. Close interval is represented by the brackets, either left “[” or right “]” brackets. Left bracket represents the value to the right of it and the point included. Right brackets represent the value to the left of it and the point included.

Step 3. If in the interval notation, ∞ or −∞ is included then instead of using brackets, parentheses are uses.

Calculation:

Consider the provided set:

{x|−4≤x<5}

Using the rule of interval notation, the above set in interval notation is:

{x|−4≤x<5}=[−4,5)

Therefore, the set in interval notation is [−4,5).

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Answer 3

Textbook Question

Chapter K, Problem 1DE

Write interval notation for the given set or graph.

{ x | − 4 ≤ x < 5 }

Expert Solution & Answer

To determine

To calculate: The interval notation for the provided set {x|−4≤x<5}.

Answer to Problem 1DE

Solution:

The interval notation of the provided set {x|−4≤x<5} is [−4,5).

Explanation of Solution

Given Information:

The provided set is {x|−4≤x<5}.

Formula used:

To write the inequality in the interval notation following steps are followed:

Step 1. Open interval is represented by left or right parentheses “(” or “)”. Left parentheses represent the value to the right of it and the point excluded. Right parentheses represent the value to the left of it and the point excluded.

Step 2. Close interval is represented by the brackets, either left “[” or right “]” brackets. Left bracket represents the value to the right of it and the point included. Right brackets represent the value to the left of it and the point included.

Step 3. If in the interval notation, ∞ or −∞ is included then instead of using brackets, parentheses are uses.

Calculation:

Consider the provided set:

{x|−4≤x<5}

Using the rule of interval notation, the above set in interval notation is:

{x|−4≤x<5}=[−4,5)

Therefore, the set in interval notation is [−4,5).

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Answer 4

Textbook Question

Chapter K, Problem 1DE

Write interval notation for the given set or graph.

{ x | − 4 ≤ x < 5 }

Expert Solution & Answer

To determine

To calculate: The interval notation for the provided set {x|−4≤x<5}.

Answer to Problem 1DE

Solution:

The interval notation of the provided set {x|−4≤x<5} is [−4,5).

Explanation of Solution

Given Information:

The provided set is {x|−4≤x<5}.

Formula used:

To write the inequality in the interval notation following steps are followed:

Step 1. Open interval is represented by left or right parentheses “(” or “)”. Left parentheses represent the value to the right of it and the point excluded. Right parentheses represent the value to the left of it and the point excluded.

Step 2. Close interval is represented by the brackets, either left “[” or right “]” brackets. Left bracket represents the value to the right of it and the point included. Right brackets represent the value to the left of it and the point included.

Step 3. If in the interval notation, ∞ or −∞ is included then instead of using brackets, parentheses are uses.

Calculation:

Consider the provided set:

{x|−4≤x<5}

Using the rule of interval notation, the above set in interval notation is:

{x|−4≤x<5}=[−4,5)

Therefore, the set in interval notation is [−4,5).

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Answer 5

Textbook Question

Answer 6

Textbook Question

Answer 7

Expert Solution & Answer

To determine

To calculate: The interval notation for the provided set {x|−4≤x<5}.

Answer to Problem 1DE

Solution:

The interval notation of the provided set {x|−4≤x<5} is [−4,5).

Explanation of Solution

Given Information:

The provided set is {x|−4≤x<5}.

Formula used:

To write the inequality in the interval notation following steps are followed:

Step 1. Open interval is represented by left or right parentheses “(” or “)”. Left parentheses represent the value to the right of it and the point excluded. Right parentheses represent the value to the left of it and the point excluded.

Step 2. Close interval is represented by the brackets, either left “[” or right “]” brackets. Left bracket represents the value to the right of it and the point included. Right brackets represent the value to the left of it and the point included.

Step 3. If in the interval notation, ∞ or −∞ is included then instead of using brackets, parentheses are uses.

Calculation:

Consider the provided set:

{x|−4≤x<5}

Using the rule of interval notation, the above set in interval notation is:

{x|−4≤x<5}=[−4,5)

Therefore, the set in interval notation is [−4,5).

Answer 8

Expert Solution & Answer

To determine

To calculate: The interval notation for the provided set {x|−4≤x<5}.

Answer to Problem 1DE

Solution:

The interval notation of the provided set {x|−4≤x<5} is [−4,5).

Explanation of Solution

Given Information:

The provided set is {x|−4≤x<5}.

Formula used:

To write the inequality in the interval notation following steps are followed:

Step 1. Open interval is represented by left or right parentheses “(” or “)”. Left parentheses represent the value to the right of it and the point excluded. Right parentheses represent the value to the left of it and the point excluded.

Step 2. Close interval is represented by the brackets, either left “[” or right “]” brackets. Left bracket represents the value to the right of it and the point included. Right brackets represent the value to the left of it and the point included.

Step 3. If in the interval notation, ∞ or −∞ is included then instead of using brackets, parentheses are uses.

Calculation:

Consider the provided set:

{x|−4≤x<5}

Using the rule of interval notation, the above set in interval notation is:

{x|−4≤x<5}=[−4,5)

Therefore, the set in interval notation is [−4,5).

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

To determine

To calculate: The interval notation for the provided set {x|−4≤x<5}.

Answer 12

Answer to Problem 1DE

Solution:

The interval notation of the provided set {x|−4≤x<5} is [−4,5).

Answer 13

Explanation of Solution

Given Information:

The provided set is {x|−4≤x<5}.

Formula used:

To write the inequality in the interval notation following steps are followed:

Step 1. Open interval is represented by left or right parentheses “(” or “)”. Left parentheses represent the value to the right of it and the point excluded. Right parentheses represent the value to the left of it and the point excluded.

Step 2. Close interval is represented by the brackets, either left “[” or right “]” brackets. Left bracket represents the value to the right of it and the point included. Right brackets represent the value to the left of it and the point included.

Step 3. If in the interval notation, ∞ or −∞ is included then instead of using brackets, parentheses are uses.

Calculation:

Consider the provided set:

{x|−4≤x<5}

Using the rule of interval notation, the above set in interval notation is:

{x|−4≤x<5}=[−4,5)