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
lianna [129]
3 years ago
10

Please i don't understand set theory in mathematics

Mathematics
1 answer:
nordsb [41]3 years ago
6 0

Set theory is the mathematical theory of well-determined collections, called sets, of objects that are called members, or elements, of the set. ... The axioms of set theory imply the existence of a set-theoretic universe so rich that all mathematical objects can be construed as sets

For example, if A = {1, 2, 3} and B = {1, 2, 3, 4, 5} then A Í B (Í means is a subset of). If A = {1, 2, 4, 8}, then n(A) = 4. This is because n(A) means the number of members in set A. The universal set is the set of all sets.

You might be interested in
During an experiment, Juan rolled a six-sided number cube 18 times. The number two occurred four times. Juan claimed the experim
Maru [420]

Answer:

1) Juans claim is incorrect. The correct experimental probablilty is 2/9

Step-by-step explanation:

8 0
3 years ago
Read 3 more answers
write each equation in a slope-intercept form. 1. (6, 2) and (-3, -6) 2. (-4 and -6) and (3, -8) 3.(-2, -8) and (6, 4) 4.(-3, 9)
ANTONII [103]

Answer:

1. (6, 2) and (-3, -6) 2. (-4 and -6) and (3, -8) 3.(-2, -8) and (6, 4) 4.(-3, 9) and (0, 1)​ 5.(2, -2) and (8, 1) 6.(-12, 4) and (0, 2) 7.(-8, -4) and (4, -7) 8.(-4, 13) and (-2, 6)​

Step-by-step explanation:

5 0
3 years ago
If p is a polynomial show that lim x→ap(x)=p(a
Lostsunrise [7]

Let p(x) be a polynomial, and suppose that a is any real number. Prove that

lim x→a p(x) = p(a) .

 

Solution. Notice that

 

2(−1)4 − 3(−1)3 − 4(−1)2 − (−1) − 1 = 1 .

 

So x − (−1) must divide 2x^4 − 3x^3 − 4x^2 − x − 2. Do polynomial long division to get 2x^4 − 3x^3 − 4x^2 – x – 2 / (x − (−1)) = 2x^3 − 5x^2 + x – 2.

 

Let ε > 0. Set δ = min{ ε/40 , 1}. Let x be a real number such that 0 < |x−(−1)| < δ. Then |x + 1| < ε/40 . Also, |x + 1| < 1, so −2 < x < 0. In particular |x| < 2. So

 

|2x^3 − 5x^2 + x − 2| ≤ |2x^3 | + | − 5x^2 | + |x| + | − 2|

= 2|x|^3 + 5|x|^2 + |x| + 2

< 2(2)^3 + 5(2)^2 + (2) + 2

= 40

 

Thus, |2x^4 − 3x^3 − 4x^2 − x − 2| = |x + 1| · |2x^3 − 5x^2 + x − 2| < ε/40 · 40 = ε.

3 0
3 years ago
I need help <br> Write a linear inequality to represent the graph
pav-90 [236]

Answer:

y < 1/2x -5

Step-by-step explanation:

1/2 is the slope

-5 is the y intercept

8 0
3 years ago
If p is directly proportional to q, and p=9 when q=7.5, find q when p=24.
pishuonlain [190]
<h3>Solution and Explanation:</h3>

If p and q are directly proportional, then they must have a common scalar.

To find q we must first find its scalar. If we let a be the scalar we can form the equation, ap = q.

We are given the information that if q = 7.5 then p = 9. We can use that in finding the scalar.

a \times 9 = 7.5 \\ \frac{a \times 9}{9} = \frac{7.5}{9} \\ a = \frac{75}{90} \\ a = \frac{15}{18}

Now we can solve for q when p = 24 knowing that our scalar is \frac{15}{18}\\.

ap = q \\ \frac{15}{18} \times 24 = q \\ \frac{360}{18} = q \\ 20 = q

<h3>Answer:</h3>

q = 20 when p = 24

4 0
2 years ago
Other questions:
  • If a normal distribution has a mean of 44 and a standard deviation of 8, what
    11·1 answer
  • Write the following equation in standard form. Then solve. 4q^2+2q=3q^2-4q+16
    6·1 answer
  • At a local store, kelly and martin bought some notebooks and pencils. Kelly bought 4 notebooks and 25 pencils for 16.71. Martin
    5·1 answer
  • Subtract. Write the difference in simplest form.<br><br>(5n - 3) - (-2n + 7)​
    13·1 answer
  • Help! Please answer screen shot! Brainliest, stars, and hearts! Please help!
    11·1 answer
  • Yo someone help me with my last question pls!!
    7·1 answer
  • Find the value of K to complete the square for the quadratic function y=x to the second power - 6x + k PLEASE HELP IT WOULD BE A
    8·1 answer
  • Factoring trinomials
    5·1 answer
  • maria started a business selling cupcakes. For every 12 cupcakes, she needs 2 cups of icing. find the unit rate of cupcakes per
    6·2 answers
  • PLEASE HELP ILL MARK BRAINEST!! WHAT IS THE RISE, RUN, AND F(X).
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!