SOLUTION: Solve the following inequalities. If there are any identities, say so. If there are any contradictions, say so. Answer using interval notation if possible. |7x-11|<0

Question 567899: Solve the following inequalities. If there are any identities, say so. If there are any contradictions, say so. Answer using interval notation if possible.
|7x-11|<0
Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
The problem you are given to solve is:
.

.
This problem contains a contradiction. By definition the absolute value of a quantity must be either zero or positive. It cannot be less than zero (meaning it cannot be negative).
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So by definition the left side, which entirely an absolute value, must be zero or positive. Therefore it cannot be less than zero as it is shown.
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I hope this helps you understand the concept of absolute values a little more.
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