SOLUTION: My question is: Cucumbers grow in soil having a ph level of 6.5, with a tolerance of 1 point on the ph scale. Write an absolute value inequality that describes the ph levels of

Question 336311: My question is:
Cucumbers grow in soil having a ph level of 6.5, with a tolerance of 1 point on the ph scale. Write an absolute value inequality that describes the ph levels of soil in which the cucumbers can grow.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Since a tolerance of 1 point is allowed, this means that the pH can be in the range 5.5 to 7.5 (subtract 1 from 6.5 to get 5.5 and add 1 to 6.5 to get 7.5)

If we let x = the pH level, then we want to make sure that the difference between x and 6.5 is less than or equal to 1. We also want this difference to be positive (so we have to use an absolute value). In symbolic form, this means that . Take note that if we solve that equation, we will get which is what we got above.

So the absolute value inequality is where 'x' is the pH level.

If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my website.

Jim
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