The correct word or phrase to fill in the blank.

Question

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Answer 1

Question

Chapter R2, Problem 1PE

To determine

The correct word or phrase to fill in the blank.

Expert Solution & Answer

Answer to Problem 1PE

Solution:

The word/phrases which can be filled in the blanks of each statement can be given as:

Set.
Inequalities.
a is less than b.
c is greater than d.
5 is not equal to 6.
Infinity, Negative infinity
${x|x>5}$ , Interval.
Excludes, includes.
Parenthesis.

Explanation of Solution

$(a)$ In mathematics, a well-defined collection of elements is called a Set. $(b)$ The statements $a<b, a>b, and a≠b$ are examples of Inequalities.

$(c)$ The statement $a<b$ is read as “ais less thanb”.

$(d)$ The statement $c≥d$ is read as “cis greater than or equal tod”.

$(e)$ The statement $5≠6$ is read as “5 is not equal to 6”.

$(f)$ The symbol $∞$ represents Infinityand $−∞$ represents Negative infinity. $(g)$ The set of real numbers greater than 5 can be written in set-builder notation as ${x|x>5}_$ and in Intervalnotation as $(5, ∞)$ .

$(h)$ We know that parentheses) or (indicate that an endpoint is excluded from the set. And the square bracket ] or [ indicates that an endpoint is included in the set.

Thus, the interval $(−2, 5]$ excludesthe value $−2$ and includesthe value 5.

$(i)$ When expression interval notation, use a parenthesiswith infinity.

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Students have asked these similar questions

part 3 of the question is: A power outage occurs 6 min after the ride started. Passengers must wait for their cage to be manually cranked into the lowest position in order to exit the ride. Sine function model: where h is the height of the last passenger above the ground measured in feet and t is the time of operation of the ride in minutes. What is the height of the last passenger at the moment of the power outage? Verify your answer by evaluating the sine function model. Will the last passenger to board the ride need to wait in order to exit the ride? Explain.

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3. A scientist recorded the movement of a pendulum for 10 s. The scientist began recording when the pendulum was at its resting position. The pendulum then moved right (positive displacement) and left (negative displacement) several times. The pendulum took 4 s to swing to the right and the left and then return to its resting position. The pendulum's furthest distance to either side was 6 in. Graph the function that represents the pendulum's displacement as a function of time. Answer: f(t) (a) Write an equation to represent the displacement of the pendulum as a function of time. (b) Graph the function. 10 9 8 7 6 5 4 3 2 1 0 t 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 -1 -5. -6 -7 -8 -9 -10-

Answer 2

Question

Chapter R2, Problem 1PE

To determine

The correct word or phrase to fill in the blank.

Expert Solution & Answer

Answer to Problem 1PE

Solution:

The word/phrases which can be filled in the blanks of each statement can be given as:

Set.
Inequalities.
a is less than b.
c is greater than d.
5 is not equal to 6.
Infinity, Negative infinity
${x|x>5}$ , Interval.
Excludes, includes.
Parenthesis.

Explanation of Solution

$(a)$ In mathematics, a well-defined collection of elements is called a Set. $(b)$ The statements $a<b, a>b, and a≠b$ are examples of Inequalities.

$(c)$ The statement $a<b$ is read as “ais less thanb”.

$(d)$ The statement $c≥d$ is read as “cis greater than or equal tod”.

$(e)$ The statement $5≠6$ is read as “5 is not equal to 6”.

$(f)$ The symbol $∞$ represents Infinityand $−∞$ represents Negative infinity. $(g)$ The set of real numbers greater than 5 can be written in set-builder notation as ${x|x>5}_$ and in Intervalnotation as $(5, ∞)$ .

$(h)$ We know that parentheses) or (indicate that an endpoint is excluded from the set. And the square bracket ] or [ indicates that an endpoint is included in the set.

Thus, the interval $(−2, 5]$ excludesthe value $−2$ and includesthe value 5.

$(i)$ When expression interval notation, use a parenthesiswith infinity.

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Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 3

Question

Chapter R2, Problem 1PE

To determine

The correct word or phrase to fill in the blank.

Expert Solution & Answer

Answer to Problem 1PE

Solution:

The word/phrases which can be filled in the blanks of each statement can be given as:

Set.
Inequalities.
a is less than b.
c is greater than d.
5 is not equal to 6.
Infinity, Negative infinity
${x|x>5}$ , Interval.
Excludes, includes.
Parenthesis.

Explanation of Solution

$(a)$ In mathematics, a well-defined collection of elements is called a Set. $(b)$ The statements $a<b, a>b, and a≠b$ are examples of Inequalities.

$(c)$ The statement $a<b$ is read as “ais less thanb”.

$(d)$ The statement $c≥d$ is read as “cis greater than or equal tod”.

$(e)$ The statement $5≠6$ is read as “5 is not equal to 6”.

$(f)$ The symbol $∞$ represents Infinityand $−∞$ represents Negative infinity. $(g)$ The set of real numbers greater than 5 can be written in set-builder notation as ${x|x>5}_$ and in Intervalnotation as $(5, ∞)$ .

$(h)$ We know that parentheses) or (indicate that an endpoint is excluded from the set. And the square bracket ] or [ indicates that an endpoint is included in the set.

Thus, the interval $(−2, 5]$ excludesthe value $−2$ and includesthe value 5.

$(i)$ When expression interval notation, use a parenthesiswith infinity.

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Answer 4

Question

Chapter R2, Problem 1PE

To determine

The correct word or phrase to fill in the blank.

Expert Solution & Answer

Answer to Problem 1PE

Solution:

The word/phrases which can be filled in the blanks of each statement can be given as:

Set.
Inequalities.
a is less than b.
c is greater than d.
5 is not equal to 6.
Infinity, Negative infinity
${x|x>5}$ , Interval.
Excludes, includes.
Parenthesis.

Explanation of Solution

$(a)$ In mathematics, a well-defined collection of elements is called a Set. $(b)$ The statements $a<b, a>b, and a≠b$ are examples of Inequalities.

$(c)$ The statement $a<b$ is read as “ais less thanb”.

$(d)$ The statement $c≥d$ is read as “cis greater than or equal tod”.

$(e)$ The statement $5≠6$ is read as “5 is not equal to 6”.

$(f)$ The symbol $∞$ represents Infinityand $−∞$ represents Negative infinity. $(g)$ The set of real numbers greater than 5 can be written in set-builder notation as ${x|x>5}_$ and in Intervalnotation as $(5, ∞)$ .

$(h)$ We know that parentheses) or (indicate that an endpoint is excluded from the set. And the square bracket ] or [ indicates that an endpoint is included in the set.

Thus, the interval $(−2, 5]$ excludesthe value $−2$ and includesthe value 5.

$(i)$ When expression interval notation, use a parenthesiswith infinity.

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Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 5

Chapter R2, Problem 1PE

To determine

The correct word or phrase to fill in the blank.

Expert Solution & Answer

Answer to Problem 1PE

Solution:

The word/phrases which can be filled in the blanks of each statement can be given as:

Set.
Inequalities.
a is less than b.
c is greater than d.
5 is not equal to 6.
Infinity, Negative infinity
${x|x>5}$ , Interval.
Excludes, includes.
Parenthesis.

Explanation of Solution

$(a)$ In mathematics, a well-defined collection of elements is called a Set. $(b)$ The statements $a<b, a>b, and a≠b$ are examples of Inequalities.

$(c)$ The statement $a<b$ is read as “ais less thanb”.

$(d)$ The statement $c≥d$ is read as “cis greater than or equal tod”.

$(e)$ The statement $5≠6$ is read as “5 is not equal to 6”.

$(f)$ The symbol $∞$ represents Infinityand $−∞$ represents Negative infinity. $(g)$ The set of real numbers greater than 5 can be written in set-builder notation as ${x|x>5}_$ and in Intervalnotation as $(5, ∞)$ .

$(h)$ We know that parentheses) or (indicate that an endpoint is excluded from the set. And the square bracket ] or [ indicates that an endpoint is included in the set.

Thus, the interval $(−2, 5]$ excludesthe value $−2$ and includesthe value 5.

$(i)$ When expression interval notation, use a parenthesiswith infinity.

Answer 6

Chapter R2, Problem 1PE

To determine

The correct word or phrase to fill in the blank.

Expert Solution & Answer

Answer to Problem 1PE

Solution:

The word/phrases which can be filled in the blanks of each statement can be given as:

Set.
Inequalities.
a is less than b.
c is greater than d.
5 is not equal to 6.
Infinity, Negative infinity
${x|x>5}$ , Interval.
Excludes, includes.
Parenthesis.

Explanation of Solution

$(a)$ In mathematics, a well-defined collection of elements is called a Set. $(b)$ The statements $a<b, a>b, and a≠b$ are examples of Inequalities.

$(c)$ The statement $a<b$ is read as “ais less thanb”.

$(d)$ The statement $c≥d$ is read as “cis greater than or equal tod”.

$(e)$ The statement $5≠6$ is read as “5 is not equal to 6”.

$(f)$ The symbol $∞$ represents Infinityand $−∞$ represents Negative infinity. $(g)$ The set of real numbers greater than 5 can be written in set-builder notation as ${x|x>5}_$ and in Intervalnotation as $(5, ∞)$ .

$(h)$ We know that parentheses) or (indicate that an endpoint is excluded from the set. And the square bracket ] or [ indicates that an endpoint is included in the set.

Thus, the interval $(−2, 5]$ excludesthe value $−2$ and includesthe value 5.

$(i)$ When expression interval notation, use a parenthesiswith infinity.

Answer 7

Chapter R2, Problem 1PE

To determine

The correct word or phrase to fill in the blank.

Answer 8

Expert Solution & Answer

Answer to Problem 1PE

Solution:

The word/phrases which can be filled in the blanks of each statement can be given as:

Set.
Inequalities.
a is less than b.
c is greater than d.
5 is not equal to 6.
Infinity, Negative infinity
${x|x>5}$ , Interval.
Excludes, includes.
Parenthesis.

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

Explanation of Solution

$(a)$ In mathematics, a well-defined collection of elements is called a Set. $(b)$ The statements $a<b, a>b, and a≠b$ are examples of Inequalities.

$(c)$ The statement $a<b$ is read as “ais less thanb”.

$(d)$ The statement $c≥d$ is read as “cis greater than or equal tod”.

$(e)$ The statement $5≠6$ is read as “5 is not equal to 6”.

$(f)$ The symbol $∞$ represents Infinityand $−∞$ represents Negative infinity. $(g)$ The set of real numbers greater than 5 can be written in set-builder notation as ${x|x>5}_$ and in Intervalnotation as $(5, ∞)$ .

$(h)$ We know that parentheses) or (indicate that an endpoint is excluded from the set. And the square bracket ] or [ indicates that an endpoint is included in the set.

Thus, the interval $(−2, 5]$ excludesthe value $−2$ and includesthe value 5.