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Helga [31]
3 years ago
15

Find n(A) for the set. A = {4, 6, 8,1 0, 12}

Mathematics
1 answer:
slega [8]3 years ago
4 0

Answer:

n(A) = 5

Step-by-step explanation:

The notation "n(A)" means the "number of elements in the set A".

Note, that this has to be "unique" elements in the set. If there is five 6's, we will count as one...

Looking at the set given, there are 4, 6, 8, 10, 12 -- 5 elements. All are unique, no repetitions. Hence n(A) = 5

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When solving an equation with an absolute value term, you make two separate equations ans solve for x:

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1st add 5 to both sides:

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Remove the absolute value term and make two equations:

4x-3 = 9 and 4x - 3 = -9

Solving for x you get X = 3 and x = -1.5

When you replace x with those values in the original equation the statement is true so those are two solutions.

Do the same thing for equation 2:

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Subtract 8 from both sides:

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2x +3 = -5

2x+3 = 5

Solving for x you get -1 and 4, but when you replace x in the original equation with those values, the statement is false, so there are no solutions.

The answer is:

C. The solutions to equation 1 are x = 3, −1.5, and equation 2 has no solution.

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Step-by-step explanation:

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