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Brrunno [24]
3 years ago
10

Which compound inequality is equivalent to |ax-b|>c for all real numbers a, b, and c, where c>0

Mathematics
2 answers:
Doss [256]3 years ago
8 0

Answer:

D

Step-by-step explanation:

Keywords

compound inequality, absolute value, equivalent

we have

we know that

To find the compound inequality  calculate the two solutions of the absolute value

First solution (case positive)

-------> inequality A

Second solution (case negative)

-------> inequality B

Multiply by  all expression

therefore

is equivalent to

and  

The answer is

The equivalent compound inequality is

garik1379 [7]3 years ago
6 0

Answer:

D. ax-b<-c or ax-b>c is the correct answer.

Step-by-step explanation:

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Step-by-step explanation:

It is convenient to let a spreadsheet or graphing calculator do the tedious math for you. (See the attachment.)

_____

The sum of the numbers is 56, so their average is 56/7 = 8. Then the absolute deviations from average are ...

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and the total of these is 30. The mean absolute deviation is this sum divided by the number of numbers, 7, so is ...

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_____

<em>More about Absolute Deviation from Average</em>

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