If P and Q are two sets then n( P-Q) means ?

Answers

Answer 1

[tex]\huge{\mathbb{ \tt{ANSWER}}}[/tex]

I shall use the symbol U for union

^ for intersection

~ for complement

----------------------------------------------------------------------------------------------------

The property of set subtraction states that for any sets X and Y, X-Y = X ^ Y~

That is in words, X throw away Y is the same as the intersection of X and the complement of Y

or X and anything NOT in Y

At the SET level, the proof looks like this:

(P-Q) U (Q-P) = « given

(P^Q~) U (Q ^ P~) = « property of set subtraction

(P U Q) ^ (P U P~) ^ (Q~ U Q) ^ (Q~ U P~) = « distributive property

(P u Q) ^ (Q~ U P~) = « Union of any set with it's complement is the universal

set which gets dropped by any intersection of a non-universal set

(P u Q ) ^ (Q ^ P)~ = « De Morgan's Law

(P u Q) - (Q ^ P) = « property of set subtraction

(P u Q) - (P ^ Q) « commutative property

----------------------------------------------------------------------------------------------------

At the ELEMENT level, the proof looks like this:

» Proves left side is subset of right side

If x is in (P-Q) U (Q-P) then x is in (P-Q) OR x is in (Q-P)

If x is in P-Q then x is in P but not in Q.

Then X is in P U Q.

Since x is not in Q, x is NOT in P ^ Q

Hence x is in P U Q but NOT in P^Q, which

means it is an element if (P U Q) - (P ^ Q)

Therefore x is an element of the set defined by the right side, which means (P-Q) U (Q-P) is a subset of (P U Q) - (P ^ Q)

« proves right side is subset of the left side

If x is an element of (P U Q) - (P ^ Q) then

x is in (P U Q) but NOT in (P^Q)

Since x is in P U Q, x is in P OR x is in Q.

Since x is NOT in (P^Q) then x is NOT in BOTH P and Q.

Hence x is in either P or Q but not both.

If x is in P, then x is not in Q, so x is in P-Q.

Therefore x is in (P-Q) U (Q-P).if x is in Q, then x is not in P, so x is in Q-P.Therefore x is in (Q-P) U (P-Q).There x is an element of set defined by the left side, which menas (P u Q)-(P ^Q) is a subset of (P-Q) U (Q-P).

#CarryOnLearning

#LetsEnjoyTheSummer

»X x K i m 0 2 x X

Related Questions

946 x 1/3
Please help!!​

Answers

Answer:

Sure! Your answer is about 315.33.

Step-by-step explanation:

If you want to figure this out by yourself, just open a calculator and do 946 * 0.33. You could also find this by dividing 946 by 3.

Please like and mark brainliest!

Hope it helps!

In this question what does the value of ? equal to?

Answers

Answer:

[tex]6[/tex]

Step-by-step explanation:

Every one except for 6 is missing.

easy algebra question below first correct answer gets brainliest

Answers

Answer:

there missing is equal to 15

hope it will help you

No Explanation Please Don't Answer

Answers

Answer:

A) [tex]\frac{1}{2}(9+15)w[/tex]

Step-by-step explanation:

Area of a trapezoid is [tex]\frac{1}{2}(base1+base2) *h[/tex]

[tex]A=\frac{1}{2}(9+15)*w[/tex]

Calculate each value for ⊙P. Use 3.14 for π and round to the nearest tenth.





mJKL = 230


area of shaded sector =


area of unshaded sector =

Answers

Answer:

Area of the unshaded sector = 113.4 sq units

Area of the shaded sector = 200.6 sq units

Step-by-step explanation:

First let us calculate the area of the circle

Area of the circle = πr²

radius r  = 10units

Area of the circle = π(10)²

Area of the circle = π(100)

Area of the circle = 3.14(100)

Area of the circle = 314 sq. units

Area of a sector = theta/360 * πr²

Area of the unshaded sector = 130/360 * 314

Area of the unshaded sector = 13/36 * 314

Area of the unshaded sector = 113.389 sq units

Area of the unshaded sector = 113.4 sq units

Area of the shaded sector = Area of circle - Area of the unshaded sector

Area of the shaded sector = 314 - 113.89

Area of the shaded sector = 200.6sq. units

The base of a cereal box has an area of 27.625 in the height is 10 inches what is the volume of the cereal box

Answers

Answer:

The volume of the cereal box is 276.25 inches

276.25 inches. I hope you have a good day

Need help ASAP please

Answers

Answer:

because the length is 4 feet more than the width

=> the length is x + 4 (feet)

because the base has an area of 21 square feet

=> x(x + 4) = 21

<=> x² + 4x = 21

PLEASE HELP PLEASE HELP
NO EXPLANATION

Answers

Answer:

A hope it helped im a junior in college i dont take science

Step-by-step explanation:

HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Independent then dependent

Step-by-step explanation:

Yes. YES!

Math is hard please help... 1st picture


isn't todoroki so cute? 2nd picture

Answers

Answer:

The new shape will be like the one that i have drawn for you , i think .

add two ( to base* from both sides of it * )

delete one ( from hights )

ask me question from it if u didn't understand this explanation :)

Answer:

yes todoroki is cute/handsome/hot/drop dead gorgeous and yes ima simp

Step-by-step explanation:

and i cant help you T^T

20% of the students in the class play an instrument. if there are 35 students in class, how many play an instrument?

Answers

Answer:

7 students play an instrument.

Calculation:

35=100%

20%=[20×35]÷100

=7

find the volume of a cone with a height 7 and radius 7

Answers

Answer:

359.19

Step-by-step explanation:

Using the formula V=(πr^2) * h/3 and plugging in the given values we get 359.19.

I estimated pi at about 3.14

Can someone please help me for 4a. i know that answer and the answer is 15d+20 but what is the answer for the second part which is 4b.??

Answers

Answer:

I answered Part A here in your last question

https://brainly.com/question/23124193

B. No, you will not get a different amount because their expressions were the same, so they make the same ammount of money which is 1.3333 dollars per walk.

Step-by-step explanation:

If you have any quesitions feel free to ask in the comments

 

I just need an answer no need for explanation. Thank you if you help!

Answers

Answer:

Equal to 43 is the answer

NO BOTS OR SPAM PLEASE

Answers

Answer:

The answer is 18

Step-by-step explanation:

6 × 3=18

Hope it helped!!! Sorry it was late!!!!!

Q3. If I = (P × R × T)/100, find T if I = 80 Rs, P = 400 Rs., R = 10 Rs. (2)
______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

Answers

Answer:

hope it helps.........

gina drew three small congruent circles beside one large circle. based on the diagram which answer choice is the closest to the area of the large circle?

Answers

Answer:28.3 cm2

Step-by-step explanation:

Find the area of a regular decagon with a perimeter of 60 ft.

Answers

Answer:

Area of a regular decagon with a perimeter of 60 ft. = 277 squared ft

Step-by-step explanation:

Decagon has 10 sides    So 60/10 = 6 (each side = 6ft )

The sum of the  interior angles of a decagon  is 1 440 degrees.

There are  10 equal isosceles triangles of base angles 72 degrees  in a decagon

Each isosceles triangle can subdivided into 2 right-angled triangles with height h and base length = (6/2) = 3 cm and base angle 72 degrees.

Height of right-angled triangle h = 3 tan 72 ft.

Area of 1 right-angled triangle = (1/2)(3)(3 tan 72) = 13.85 squared ft  

Area of decagon = 20 right-angled triangles = 277 squared ft

I Know this is an extreemlly easy question but i am ssssoo tierd please help WILL REPORT AND GIVE BRAINLYEST
1/6 into a decimal and percent

Answers

Answer:

as a decimal it is 0.166667 as a percent it is 16.666667%.

Find the sum of the first 48 terms of the following series, to the nearest integer.
6, 9,12,...
6,9,12

Answers

Answer:

3,672

Step-by-step explanation:

Given the sequence 6, 9, 12...

The sequence is an arithmetic sequence

first term a = 6

common difference d = 9 - 6 = 12 - 9 = 3

number of terms n = 48

Sn = n/2[2a+(n-1)d]

Substitute the given values

S48 = 48/2[2(6)+(48-1)(3)]

S48 = 24(12+(3*47))

S48 = 24(12+141)

S48 = 24(153)

S48 = 3,672

Hence the sum of the first 48terms is 3,672

Please help me with this

Answers

Answer:

55.56 Units

Step-by-step explanation:

6+10+13+6= 35.

can you help me please ​

Answers

the correct answer is B 70

35 + 75 = 110

triangles always make up 180°

180 - 110 = 70

find the area of the figure. use 3.14 for pi <3

Answers

Answer:

23.13m^2

Step-by-step explanation:

We'll use 3.14 for pi as instructed.

We can rearrange the figure to one square and 2 full circles.

Area of the square is 3m*3m = 9m^2

Area of a single full circle is pi*1.5m*1.5m = pi*2.25m^2 = 3.14*2.25m^2 = 7.065m^2

Full area = 9m^2 + 2*7.065m^2 = 9m^2 + 14.13m^2 = 23.13m^2

Answer:

23.14

Step-by-step explanation:

tto find the area of a circle itz A=πr

A=π1.5=7.07

3x3=9

7.07+7.07+9=23.14

Lucas works for a salary of $2,396 per month. His deductions include $360 of federal income tax, $148 for Social Security, $35 for Medicare, and a $95 insurance premium. What is his monthly net pay?

Answers

Answer:

Lucas monthly net pay is $1758

Step-by-step explanation:

Lucas works for a salary of $2,396 per month.

His deductions include $360 of federal income tax,

$148 for Social Security,

$35 for Medicare, and

a $95 insurance premium.

Now,

2396 - 360 - 148 - 35 - 95 = 1758

Thus, Lucas monthly net pay is $1758

-TheUnknownScientist

A boat is heading due north at 15 mph. The current is flowing southeast at 5 mph. Find the actual bearing and speed of the ship

Answers

Answer:

3 Mph

Step-by-step explanation:

Have a nice day!

A shirt is on sale for 30% off the original price of $85.00.
How much will the shirt cost, after the discount?
Hint: 30% is equivalent to 3/10 and .30



FAST RESPONSE PLEASE

Answers

Answer:

59.5

Step-by-step explanation:

30% of 85 is 25.5

85-25.5=59.5

prove this that the lll​

Answers

Answer:

hmm pray you will fine the answer.

Step-by-step explanation:

dunno can you please say details

A baker used 4 cups of flour to make 5
batches of cookies. He used _?_ of a
cup of flour to make lbatch of
cookies.

Answers

I’m assuming you meant 1 batch. Either way, he uses 0.8 bags per batch.

Answer:0.84

Step-by-step explanation:

Here,5 cups = 6 batches divided both side by 65/6 cups = 1 batches1 batch =  0.84 cupThus, 0.84 cups is required to make 1 batch of cookies.


Which of the following is a solution to the system of
equations?
4 + y = -x
y = 2x - 10

Answers

Answer:

x=3, y= -6

Step-by-step explanation:

make 4+y= -x as equation (1) and make y=2x-10 as equation (2, then you must find a third equation either from equation (1)or (2). If you choose to find equation (3) from (2) it will be y=2x-10 , then substitute equation (3) from (1) because you can't choose (2) , then it will be 4+(2x-10)= -x

the answer will be x =2

substitute x from equation (3)

y=2x-10

y=2 (2)-10

y= -6

Which graph represents a function with a domain of all numbers greater than or equal to -7 and less than 2? Your explanation should include all information about reading domain on a graph given the limitations. As well as how the different circles affects the notation on the graph when equal to and not equal to are used.

Answers

Answer: D.

Step-by-step explanation:

The way to know if it is “greater than or equal to” opposed to jsut greater than is to look at the dot. If it is filled in it is “equal to” if not it isn’t.

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