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
Dmitriy789 [7]
2 years ago
10

Set Question involving real and natural numbers

Mathematics
1 answer:
Allushta [10]2 years ago
3 0

Only two real numbers satisfy x² = 23, so A is the set {-√23, √23}. B is the set of all non-negative real numbers. Then you can write the intersection in various ways, like

(i) A ∩ B = {√23} = {x ∈ R | x = √23} = {x ∈ R | x² = 23 and x > 0}

√23 is positive and so is already contained in B, so the union with A adds -√23 to the set B. Then

(ii) A U B = {-√23} U B = {x ∈ R | (x² = 23 and x < 0) or x ≥ 0}

A - B is the complement of B in A; that is, all elements of A not belonging to B. This means we remove √23 from A, so that

(iii) A - B = {-√23} = {x ∈ R | x² = 23 and x < 0}

I'm not entirely sure what you mean by "for µ = R" - possibly µ is used to mean "universal set"? If so, then

(iv.a) Aᶜ = {x ∈ R | x² ≠ 23} and Bᶜ = {x ∈ R | x < 0}.

N is a subset of B, so

(iv.b) N - B = N = {1, 2, 3, ...}

You might be interested in
What is are the solutions to | x+4 |= 3x-5?
bonufazy [111]

Answer:

x = \frac{9}{2}

Step-by-step explanation:

The absolute value always returns a positive value but the expression inside can be positive or negative, that is

x + 4 = 3x - 5 ( subtract 3x from both sides )

- 2x + 4 = - 5 (subtract 4 from both sides )

- 2x = - 9 ( divide both sides by - 2 )

x = \frac{9}{2}

OR

-(x + 4) = 3x - 5

- x - 4 = 3x - 5 ( subtract 3x from both sides )

- 4x - 4 = - 5 ( add 4 to both sides )

- 4x = - 1 ( divide both sides by - 4 )

x = \frac{1}{4}

As a check

Substitute these values into the equation and if both sides are equal then they are the solutions

| \frac{9}{2} + 4 | = | \frac{17}{2} | = \frac{17}{2}

right side = \frac{27}{2} - 5 = \frac{17}{2}

left side = right side , thus x = \frac{9}{2} is a solution

check second solution

| \frac{1}{4} + 4 | = |  \frac{17}{4} | = \frac{17}{4}

right side =   \frac{3}{4} - 5 = -   \frac{17}{4}

right side ≠ left sides, hence not a solution

7 0
3 years ago
2 percent of the students at Hamilton Middle School have red hair. There are 400 students at Hamilton Middle School. How many st
klio [65]

Answer: There are 8 students at Hamilton Middle School with red hair.

Step-by-step explanation:

Given: The proportion of the students at Hamilton Middle School have red hair = 2% = 0.02

Total students in  Hamilton Middle School = 400

Then , the number of students have red hair = (proportion of the students have red hair ) x (Total students )

= (0.02) x (400)

= 8

Hence, there are 8 students at Hamilton Middle School with red hair.

7 0
3 years ago
Read 2 more answers
Someone help me on this plz
Elodia [21]
The answer is .29 if you didn't know yet..
5 0
3 years ago
Read 2 more answers
a farmer needs 5 men to clear his farm in 10 days. How many men will he need if he must finish clearing the farm in two days if
zlopas [31]

Answer:

25 workers

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

,

3 0
2 years ago
Anna rode her bike 7 miles to the lake. She rode 3/4 of the distance to the lake before lunch. How many miles did she ride befor
stiks02 [169]
You have to find what 3/4 of seven is by multiplying 7 * 3/4, which is 5.25 miles
4 0
3 years ago
Read 2 more answers
Other questions:
  • What is an equivalent expression to 7x + 56
    11·1 answer
  • What is 285.39154 rounded to the nearest hundredth
    5·2 answers
  • How many times does 22 go into 160
    5·2 answers
  • Find the value of the following expression:
    14·1 answer
  • Find the correct algebraic representation of the rotation shown below.
    11·1 answer
  • How much longer is a 1-inch button than a 3/4-inch button
    14·2 answers
  • Plz i need help and FAST!!! Sketch a rectangular prism that has a volume of 36 cubic cm. Label the dimensions of each side on th
    6·1 answer
  • Someone pls help me ill give out brainliest pls don’t answer if you don’t know
    9·1 answer
  • Will choose brainliest! Please help! (This is Khan Academy)
    13·1 answer
  • Solve for x<br><br>4x+6-7+9=18​
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!