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 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)