-2x-10<0

Find all the values where the expression switches from negative to positive by setting each factor equal to 0 and solving.

-2=0

x-10=0

Since -2≠0, there are no solutions.

No solution

Add 10 to both sides of the equation.

x=10

Set the denominator in -2x-10 equal to 0 to find where the expression is undefined.

x-10=0

Add 10 to both sides of the equation.

x=10

The domain is all values of x that make the expression defined.

(-∞,10)∪(10,∞)

(-∞,10)∪(10,∞)

The solution consists of all of the true intervals.

x>10

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Graph -2/(x-10)<0