Best Notes For This Concept
Absolute Value Inequalities
|p| ≤ 4
This says that no matter what P- is it must have a distance of no more than 4 from the
origin. This means that p must be somewhere in the range,
● We could have a similar inequality with the < and get a similar result.
We could have a similar inequality with the < and get a similar result.
If |p| ≤ b, b > 0 then -b ≤ p ≤ b
Notice that this does require b to be positive just as we did with equations.
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Examples
1. |2x-4| < 10
Solution---
There really isn’t much to do other than plug into the formula. As with equations p
simply represents whatever is inside the absolute value bars.
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Absolute Value Inequalities
|p| ≤ 4
This says that no matter what P- is it must have a distance of no more than 4 from the
origin. This means that p must be somewhere in the range,
● We could have a similar inequality with the < and get a similar result.
We could have a similar inequality with the < and get a similar result.
If |p| ≤ b, b > 0 then -b ≤ p ≤ b
Notice that this does require b to be positive just as we did with equations.
____________________________________________________________________________
Examples
1. |2x-4| < 10
Solution---
There really isn’t much to do other than plug into the formula. As with equations p
simply represents whatever is inside the absolute value bars.
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