SOLUTION: I am having trouble with absolute value in inequalities.
What does it mean?
The difference between 9 and 3 times the distance between x and -5 is greater than 6.
I did try to
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Question 933499: I am having trouble with absolute value in inequalities.
What does it mean?
The difference between 9 and 3 times the distance between x and -5 is greater than 6.
I did try to to this. Here's what I think. 9-3|x-5|>6 only question. Is it supposed to be x-5 or x+5? And then i got the answer : -6>x>-4. Your help is greatly appreciated.. As i showed you here I did try but did not get the answer. Also tell me the definition of absolute value and how it is used in word problems if you would not mind.
Found 2 solutions by mananth, josgarithmetic:
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
three times the difference between x & -5 is x-(-5)= (x+5)
9-(x+5)>6
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
The difference between 9 and 3 times the distance between x and -5 is greater than 6.
Continue simplifying.
Multiplying both sides by a negative quantity will reverse the inequality direction:
x+5 could be negative or non-negative. Solve for each case.
Non-negative,
If negative,
-
Put those two results together.
The meaning of absolute value is how far from 0 on the number line. For more detailed explanations and study, use your textbook. Absolute Value is always a POSITIVE quantity.
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