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valentinak56 [21]
3 years ago
7

Solve the inequality |x − 6| − 10 < 1 Write the answer as a compound inequality

Mathematics
1 answer:
Tju [1.3M]3 years ago
5 0
|x-6| < 1 + 10 (move 10 to the right side)
|x-6| < 11

1)x-6 < 11 (here x >= 6)
2)-x+6 < 11 (here x < 6)

1)x<17
2)x>-5

so we get -5 < x < 17

the answer: (-5; 17)
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Step-by-step explanation:

Let the unknown number be x

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Solving further  :

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Step-by-step explanation:

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Annette [7]

Given:

$184500 are to be divided between 2 people.

One person has 80% of what the other person has.

To find:

The amount each one receive in $.

Solution:

Let $x be the amount received by first person. Then,

Amount received by the second person = 80% of x

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Total amount = Amount received by first person + by second person

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Total amount is 184500. So,

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x=\dfrac{184500}{1.80}

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So, the amount received by the first person is $102,500.

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