Question 1199342
i believe the answer will be x > 3
here's my reasoning.
your inequality is 0 < (2x-4)^-1<1/2
that becomes:
0 < 1/(2x-4) < 1/2
multiply all sides of the inequality by (2x-4) to get:
0 < 1 < 1/2 * (2x-4)
simplify to get:
0 < 1 < (x-2)
add 2 to all sides of the inequality to get:
2 < 3 < x
is x > 3, then x has to be > 2, so reduce the inequality to:
3 < x
solve for x to get:
x > 3


to see if this is a good solution, replace x with something greater than 3, like 4.
your equation becomes 0 < 1/(8-2) < 1/2
simplify to get:
0 < 1/6 < 1/2
this is a true statement because 0 < 1/6 and 1/6 < 1/2.


your solution is x > 3 as far as i can tell.