2 years ago

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

1 answer:

maks197457 [2]2 years ago

8 0

The correct answer for this question is "|x-6| > 4."

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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X+(x+2)+(x+4)+(x+6)=4x+12=212

Mrac [35]

(x+(x+2)+(x+4)+(x+6))=4x+12=212

x+x+x+x(2+4+6)=4x+12=212

4x (2+4+6)=4x+12=212

4x(6+6)=4x+12=212

12+4x=4x+12=212

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