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iragen [17]
3 years ago
13

All real numbers more than 4 units from 6 (in an absolute value inequality)

Mathematics
1 answer:
maks197457 [2]3 years ago
8 0
The correct answer for this question is "<span>|x-6| > 4."

</span>All real numbers more than 4 units from 6 (in an absolute value inequality).
We need to translate this sentence into a mathematical inequality.

"... units from 6 ..."
This means that the distance from 6 to a certain number.
x - 6

Since, we are talking about distance, place it inside an absolute symbol.
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the answer is 13.25  




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4(x + 10) &lt; 20 What is the answer
lukranit [14]

Answer:

x < -5

Step-by-step explanation:

Distribute 4 to x and 10: 4x + 40 < 20

Subtract 40 from both sides: 4x < -20

Divide by 4: x < -5

6 0
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What fraction is equal to 66?
marysya [2.9K]
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Solve the system of equation by the addition method x-2y=11 and -x+6y =-31
Sonbull [250]

Answer: x = 1, y = - 5

Step-by-step explanation:

The given system of linear equations is expressed as

x - 2y = 11- - - - - - - - - - - - -1

- x + 6y = - 31- - - - - - - - - - - -2

We would eliminate x by adding equation 1 to equation 2. It becomes

- 2y + 6y = 11 - 31

4y = - 20

Dividing the the left hand side and the right hand side of the equation by 4, it becomes

4y/4 = - 20/4

y = - 5

Substituting y = - 5 into equation 1, it becomes

x - 2 × - 5 = 11

x + 10 = 11

Subtracting 10 from the left hand side and the right hand side of the equation, it becomes

x + 10 - 10 = 11 - 10

x = 1

3 0
3 years ago
P - 12p + -2p - -19p + -13p = 9
USPshnik [31]

Answer:

p=\frac{9}{7}

Step-by-step explanation:

p - 12p + -2p - -19p + -13p = 9\\p(1-12+(-2)-(-19)+(-13)) = 9\\p(-11-2+19-13)=9\\p(7)=9\\p=\frac{9}{7}

Let's check the answer:

6 0
3 years ago
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