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Marta_Voda [28]
3 years ago
12

2.5 Refer to Exercise 2.4. Use the identities A = A ∩ S and S = B ∪ B and a distributive law to prove that a A=(A∩B)∪(A∩B). b If

B⊂AthenA=B∪(A∩B). c Further, show that ( A ∩ B ) and ( A ∩ B ) are mutually exclusive and therefore that A is the union of two mutually exclusive sets, (A ∩ B) and (A ∩ B). d AlsoshowthatBand(A∩B)aremutuallyexclusiveandifB⊂A,Aistheunionoftwo mutually exclusive sets, B and (A ∩ B)

Mathematics
1 answer:
natka813 [3]3 years ago
5 0

Answer:

All identities proved

Step-by-step explanation:

The step by step proving using the distributive law property is as shown in the attachment.

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RESOLVER LOS SIGUIENTES SISTEMAS DE ECUACIONES APLICANDO EL METODO DE SUSTITUCION
kiruha [24]

Answer:

x = 1/2; y = 1/3

Step-by-step explanation:

2x + 3y = 2     Eq. 1

-6x + 12y = 1     Eq. 2

Eq. 1

2x + 3y = 2

2x = -3y + 2

x = -3/2 y + 1

Eq. 2

-6x + 12y = 1

De Eq. 1 sabemos que x = -3/2 y + 1

-6x + 12y = 1

-6(-3/2 y + 1) + 12y = 1

9y - 6 + 12y = 1

21y - 6 = 1

21y = 7

y = 7/21

y = 1/3

Eq. 1

2x + 3y = 2

2x + 3(1/3) = 2

2x + 1 = 2

2x = 1

x = 1/2

Respuesta: x = 1/2; y = 1/3

3 0
3 years ago
Neeeeed helppppppppppp
sineoko [7]

Answer: the answer is below

Step-by-step explanation:

its 4

2.5 i think

4 0
3 years ago
peter has 6/7 of a stack of baseball cards left. If he is planning on splitting what he has left into stacks that are each 3/28
DIA [1.3K]
<h3>Answer:  8</h3>

=======================================================

Work Shown:

Let's say there are 28 cards in a full stack.

6/7 = 24/28 after multiplying top and bottom by 4

Since he has 24/28 of a stack left, this means he has 24 cards left.

He wants to arrange the remaining cards into piles so that each pile consists of 3/28 of a full stack. In other words, he wants each pile to have 3 cards.

So this must mean he will get 24/3 = 8 piles

(8 piles)*(3 cards per pile) = 8*3 = 24 cards total

3 0
3 years ago
Read 2 more answers
30% of what number is 70
katrin2010 [14]
233 1/3

you start with .3x = 70, as this is the sentence given, solving for x.
divide both sides by .3, and you get x
6 0
4 years ago
Which of the following shows the Distributive Property of Multiplication of 4 x 24?
Nana76 [90]
The answer is (4x20) + (4x4) which equals 96
5 0
3 years ago
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