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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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X+8/4 = -6 a.x = -32 b.x = 16 c.x = -16 d.x = -24 a. Hurryyyyy i need helppppppppp
son4ous [18]

Answer:

x = -8

Step-by-step explanation:

x + (8/4) = -6

x × 4 + (8/4) × 4 = -6 × 4

4x + 8 = -24

4x = -24 - 8

4x = -32

x = -8

6 0
3 years ago
How are the variables on the graph related?
Anna007 [38]
Having a look at the graph, we will find that:
For speed: it is increasing along the x-axis
For height: it is increasing along the y-axis

This means that the function is linearly increasing.

Based on this, the correct choice would be:
D. As speed increases, height increases
8 0
3 years ago
Find the cost price when,<br>(a) Selling price = Rs 725 and 15% gain​
Debora [2.8K]

Step-by-step explanation:

Selling Price (SP) = Rs. 725

profit rate (P%) = 15 %

Now

Cost Price (CP)

=  \frac{sp \:  \times 100}{100 + p\%}  \\  =  \frac{725 \times 100}{100 + 15}   \\  =  \frac{72500}{115}  \\  = rs \: 630.42

4 0
3 years ago
The radius of a circle with an area of 60 square centimeters is represented by the expression √60/π centimeters. What is another
monitta

Answer:

r= 2 √(15/π)

Step-by-step explanation:

Given that :

Area of circle =60sq cm

radius=√60/π

Area=\pi r^2\\60=\pi r^2\\\\\sqrt{\frac{60}{\pi}}=r\\\\\sqrt{\frac{15\times 4}{\pi}}=r\\2\sqrt{\frac{15}{\pi}}=r

Hence the radius can be written as 2 √(15/π)

3 0
3 years ago
-1 7/8 + -6 Help, please.
KiRa [710]
-7 7/8 is the answer.

5 0
3 years ago
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