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Korvikt [17]
3 years ago
10

Write the following sets in set-builder notation: (a) The set of all humans whose first name is Tanya or Nelson.

Mathematics
1 answer:
Ulleksa [173]3 years ago
5 0

Answer:

Step-by-step explanation:

Set is a well defined collection of objects .

We can express set in roaster form or set - builder form

<u>Roaster Form</u>

We express elements within curly brackets using commas between the elements .

<u>Set Builder Form</u>

In set builder form , all the elements of the set possess a common property which is not possess by elements outside the set .

We describe the elements of set using a symbol x which is followed by a colon . After colon , we write property possessed by the element and then enclosed the description within curly brackets .

(a)The set of all humans whose first name is Tanya or Nelson

We need to write this one in set builder form .

Define set as follows : { x ∈ H : H is set of all the humans and x is either Tanya or Nelson }

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Answer:

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Step-by-step explanation:

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3 years ago
My first expression answer is y=5 -2x How do I plug it into x-y=1 ?? The Y
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Answer:

All you need to do is make sure the first expression is solved for y (which it is), and then substitute it into the second expression in place of any occurrences of y:

given the second expression:

x - y = 1

We'll replace y with it's value in the first expression:

x - (y) = 1

x - (5 - 2x) = 1

Now we can expand the resulting equation:

x - 5 + 2x = 1

So <em>neither</em> of the answers provided are correct.

You can then solve for x:

x - 5 + 2x = 1

x - 5 + 5 + 2x = 1 + 5

x + 2x = 6

3x = 6

3x/3 = 6/3

x = 2

After that, you can find y by plugging x into either of the two original equations:

y = 5 - 2x

y = 5 - 2(2)

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8 0
3 years ago
G(x) = 3x -1. Find x such that g(x)= 2​​0​.
sergiy2304 [10]

Step-by-step explanation:

i. 3x-1=20

or, 3x= 21

x= 7

ii. 3x+1= 22

3x= 21

x= 7

iii. 2x-5=99

2x= 104

x=52

iv. g(3)= 3+5/2= 11/2

g(0)= 0+ 5/2=5/2

g(-3)= -3+5/2 = -1/2

x+5/2= 0

so, x= -5/2

3 0
2 years ago
Jason went to the Hamburger Shack twice last week.
WARRIOR [948]

Answer:

Cost of 1 hamburger = $1.3

Step-by-step explanation:

Assume;

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Cost of 1 French fries = b

On first trip

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On second trip

2a + b = 3.40....eq2

From eq2 x 4

8a + 4b = 13.6....eq3

From eq3 - eq1

5a = 6.5

a = 1.3

Cost of 1 hamburger = $1.3

7 0
3 years ago
The Powerball lottery is open to participants across several states. When entering the powerball lottery, a participant selects
mr Goodwill [35]

Answer and Step-by-step explanation:

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Odds are thus 1 in 175223510

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Odds are thus 1 in 5153632

6 0
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