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How do you solve the following inequality 1 divided by l6x-5l is less than or equal to 5. 6x-5 is in absolute value.?
Wiki User
∙ 15y ago
Split it into two cases.
First - 6x-5 is positive(greater or equal to zero):
Equation will get following form:
6x-5 <= 5
This resolves to x <= 10/6.
Second case - 6x-5 is less than zero:
Equation will get following form:
-6x+5 <= 5
This resolves to x >= 0.
As we can see, x has to be both greater than zero and less than or equal to 10/6, and this is our answer.
0 <= x <= 10/6
Wiki User
∙ 15y ago
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