SOLUTION: Solve the inequality, and express the solution in terms of intervals whenever possible. (Enter your answer using interval notation. If there is no solution, enter NO SOLUTION.) (x

Question 707026: Solve the inequality, and express the solution in terms of intervals whenever possible. (Enter your answer using interval notation. If there is no solution, enter NO SOLUTION.)
(x + 1)/(2x − 3) > 2
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
We do not know if (2x-3) is positive or negative.

Find critical points or point, treating first the equality.

Change to "=", and solve to find critical point:

.
x=7/3, critical point.

2 is less than the critical point, and 3 is greater than the critical point. They are just examples. The values are not too important; just they are on specific intervals of the real line based on the found critical point.

Test using 2, for x<7/3
, and , so
is solution.

Test using 3, for x>7/3
, FALSE. This means x>7/3 are NOT solutions.

The solution is
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