1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Sliva [168]
3 years ago
6

Use set-builder notation to describe the following sets: (a) {1,2,3,4,5,6,7} (b) {1, 10, 100, 1000, 10000} (c) {1,1/2, 1/3, 1/4,

1/5, ...} (d) {0}
Mathematics
1 answer:
Alja [10]3 years ago
8 0

Answer:

A) The set builder notation is: {n | n∈Z, 1≤n≤7}.

B) The set builder notation is: \{10^x | x=0,1,2,3,4\}

C) The set builder notation is: \{\frac{1}{n} | n\in z\}

D) The set builder notation can be: \{x\ \in R | x=x^3\ and\ x\neq 1\}

Step-by-step explanation:

Consider the provided information,

We need to use set-builder notation to describe the following sets.

(a) {1,2,3,4,5,6,7}

Here, the number are integer starting from 1 to 7.

Thus, the set builder notation is: {n | n∈Z, 1≤n≤7}.

(b) {1, 10, 100, 1000, 10000}

The above set can be written as:

\{1, 10, 100, 1000, 10000\}=\{10^0, 10^1, 10^2, 10^3, 10^4\}

Thus, the set builder notation is: \{10^x | x=0,1,2,3,4\}

(c) {1, 1/2, 1/3, 1/4, 1/5, ...}

Here the numerator is 1 for each term but denominator is natural number.

Thus, the set builder notation is: \{\frac{1}{n} | n\in z\}

(d) {0}

The set builder notation can be: \{x\ \in R | x=x^3\ and\ x\neq 1\}

You might be interested in
Easy question!!! 1. Which statement is true?
coldgirl [10]

Answer:

All quadrilaterals are squares. All rectangles are quadrilaterals.

All quadrilaterals are parallelograms.

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
How many different ways can you write a fraction that has a numerator of 2 as a sum of fractions? Explain.
zhenek [66]

Answer:

Step-by-step explanation:

1/5 + 1/5 = 2/5

1/7 + 1/7 = 2/7

1/3 + 1/3 = 2/3

There are an infinite number of these fractions. They must be 1 and 1 in the numerator, and the denominator must be relatively prime  to 2. The examples I have picked are prime in the denominator, but the rule is not without many exceptions. For example

1/9 + 1/9 = 2/9

I don't think you can pick an even denominator because it will reduce when put with two.  Oh wait 2/18 + 2/18 = 4/18 = 2/9 But these could be reduced before adding. Still, it might count. It depends on who is marking the question.

What about an odd and even denominator?

1/9 + 1/18 = 3/18 = 1/6  There must be something that works, but I can't come up with an example.

4 0
3 years ago
Nathan usually drinks 36 ounces of water per day. He read tha the should drink 64 ounces if water per day. If he starts drinking
tangare [24]
The answer is 78% that was rounded from 77.78%
7 0
3 years ago
The cost of 2pounds if potatoes is $3.78 what is the constant of proportionality that represents the relationship between the co
Nana76 [90]

Answer:

The constant of proportionality is 1.89

Step-by-step explanation:

2 pounds = $3.78

1 pound = $3.78/2 = $1.89

Cost y is directly proportional to the pound of potato

y = 1.89x

The constant of proportionality is the cost of 1 pound of potato, and it is 1.89

7 0
3 years ago
What is the solution to this system of linear equations?
tankabanditka [31]
The correct answer is c
6 0
3 years ago
Read 2 more answers
Other questions:
  • Anyone know this? Please help it'd mean a lot
    5·1 answer
  • Can someone help on this?
    9·2 answers
  • 5486 rounded to the nearest thousand
    15·2 answers
  • I really need help it must be correct
    8·2 answers
  • a bottle contains red marble and blue marbles. a marble is chosen at random and not replaced. then a second marble is chosen at
    8·1 answer
  • Need help with this question how many times will the lines intersect?
    14·1 answer
  • PLEASE ANSWER THIS ASAP
    11·2 answers
  • Which expression is equivalent
    8·1 answer
  • 50 of the blank is 19
    14·1 answer
  • Write each number as the product of two or three
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!