Posting better solution, more complete than earlier one -
-
x cannot be 0, and 0 is one of the critical x-values.
Divide both sides by 10
Concentrate on the expression on the left side
Look for the critical x-values of the numerator; the denominator has already been taken care of.
Critical x-values are and
OR after computing,
.
The three critical values cut the x-axis into four intervals on which to check for solutions.
Check within each interval using the original inequality.
Pick any value within each interval.
pick -1 pick -1/5 pick 2 pick 4
TRUE TRUE TRUE FALSE
SOLUTION: The union of and
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THIS SOLUTION POSTED EARLIER, INCOMPLETE AND WRONG:
Critical x values,
These critical x values are -2/5 and 2.5.
You will find that the solution is the x values BETWEEN BUT NOT INCLUDING -2/5 and positive 2.5.
.*
*note: because of the original inequality.