Solve for x
x\in \left(-2,1\right)
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-2x-4<0 x-1<0
For the product to be positive, -2x-4 and x-1 have to be both negative or both positive. Consider the case when -2x-4 and x-1 are both negative.
x\in \left(-2,1\right)
The solution satisfying both inequalities is x\in \left(-2,1\right).
x-1>0 -2x-4>0
Consider the case when -2x-4 and x-1 are both positive.
x\in \emptyset
This is false for any x.
x\in \left(-2,1\right)
The final solution is the union of the obtained solutions.
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