SOLUTION: Please show the workings to solve this inequality, many thanks. (x-7)(2x+1)<0

Question 1021652: Please show the workings to solve this inequality, many thanks.
(x-7)(2x+1)<0
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Break up the number line according to the critical points of the function.

.
.

.
.
So then break up the number line into 3 regions,
Region 1: (,)
Region 2: (,)
Region 3: (,)
Choose a number in each region and test the inequality.
If the inequality is true, the region is part of the solution.
If not, then it's not part of the solution.
Region 1:

False
Region 2:

True
Region 3:

False
So then the solution region is,
(,)
.
.
.
Visually, check for when the function is below the x-axis (),

.
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