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Paha777 [63]
3 years ago
10

Show that (A | B) U (B \ A) = (AUB) \(B n A).

Mathematics
1 answer:
trasher [3.6K]3 years ago
7 0

Answer:

We have to prove,

(A \ B) ∪ ( B \ A ) = (A U B) \ (B ∩ A).

Suppose,

x ∈ (A \ B) ∪ ( B \ A ), where x is an arbitrary,

⇒ x ∈ A \ B or x ∈ B \ A

⇒ x ∈ A and x ∉ B or x ∈ B and x ∉ A

⇒  x ∈ A or x ∈ B and x ∉ B and x ∉ A

⇒ x ∈ A ∪ B and x ∉ B ∩ A

⇒ x ∈ ( A ∪ B ) \ ( B ∩ A )

Conversely,

Suppose,

y ∈ ( A ∪ B ) \ ( B ∩ A ), where, y is an arbitrary.

⇒ y ∈ A ∪ B and x ∉ B ∩ A

⇒ y ∈ A or y ∈ B and y ∉ B or y ∉ A

⇒  y ∈ A and y ∉ B or y ∈ B and y ∉ A

⇒  y ∈ A \ B  or  y ∈ B \ A

⇒  y ∈ ( A \ B ) ∪ ( B \ A )

Hence, proved......

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Mei and Alberto are selling cookie dough. Mei sold 11 packages of chocolate chip and 12 packages of gingerbread for a total of $
ycow [4]

Answer:

The price of a package of chocolate chip is $13.25

The price of a package of gingerbread is $17.18

Step-by-step explanation:

11x + 12y = 352

10x +8y = 270

Let "x" be the price of a package of chocolate chip.

Let "y" be the price of a package of gingerbread.

11x + 12y = 352(Multiply the 1st row by 10)

10x +8y = 270 (Multiply the 2nd row by 11)

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

110x + 120y = 3520

110x +88y = 2970

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

        3y = 550

y =550/3

y = 17.1875

The price of a package of gingerbread "y" is $17.18

Let's pick the first equation "110x + 120y = 3520"

110x + 120y = 3520

110x+ 120(17.1875)= 3520

110x+2062.5=3520

110x=3520−2062.5

110x=1457.5

x= 1457.5/110

x=13.25

The price of a package of chocolate chip is $13.25

6 0
2 years ago
Which image shows the correct position of -2 1/2on the number line?
ohaa [14]
The answer to your question would be 'A'
5 0
3 years ago
Please answer soon (40 Points)
Aleonysh [2.5K]

Answer:

-99g - 54

Step-by-step explanation:

-9*11g = -99g

-9*6= -54

So, it is -99g - 54

Hope this helps!

4 0
2 years ago
In the following questions, look at different ways to represent the relation given by the equation y = x2 - 1. The table below s
Nady [450]

Answer:

a= 3

b= 0

Step-by-step explanation:

4 0
2 years ago
Which place is the 4 in? 815.604 hundreds hundredths thousandths tenths
Aleonysh [2.5K]

Answer:

Hundredths I think :D

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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