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OpenStudy (saifoo.khan):
\[x \le 0, x \ge0\]
OpenStudy (anonymous):
It means the distance on the number line between the point x and 0 is less than or equal to 0.
OpenStudy (anonymous):
so x=0
OpenStudy (anonymous):
how do i graph tht on a number line?
OpenStudy (anonymous):
If \(|x| \le 0\), then \(x = 0\)
The absolute value cannot be negative
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OpenStudy (anonymous):
distance cannot be negative. it's just the point 0.
OpenStudy (anonymous):
plz help
OpenStudy (anonymous):
no numbr line
OpenStudy (anonymous):
|dw:1315865441190:dw|
OpenStudy (anonymous):
thnk u so much
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OpenStudy (anonymous):
what polpak drew was the number line :)
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
The x with the two lines on either side means absolute value which means whatever the number is (negative or positive), you take it as a positive. The absolute value of -5 is 5 and the absolute value of 10 is 10. In your case, since the absolute value of x <= 0, then there is only one possible answer which is x = 0. All negative values would become positives and none of them are equal to or less than zero. And all positive values are not less than or equal to 0.