Question
3/(1-∆)>4+2∆/1-∆
Answers
oobleck
Assuming the usual carelessness with parentheses, I have
3/(1-∆)>4+2∆/(1-∆)
1/(1-∆) > 4
if ∆ < 1, then (1-∆) > 0, and
1/4 > 1-∆
∆ > 3/4
Since ∆ < 1, 3/4 < ∆ < 1
If ∆ > 1 then (1-∆) < 0, and
1/4 < 1-∆
∆ < 3/4
But ∆ > 1, so no solution here
3/(1-∆)>4+2∆/(1-∆)
1/(1-∆) > 4
if ∆ < 1, then (1-∆) > 0, and
1/4 > 1-∆
∆ > 3/4
Since ∆ < 1, 3/4 < ∆ < 1
If ∆ > 1 then (1-∆) < 0, and
1/4 < 1-∆
∆ < 3/4
But ∆ > 1, so no solution here
oobleck
my bad. I missed that ∆ in the numerator.
But I'm sure you can follow my logic, so make the necessary adjustment and redo the problem.
But I'm sure you can follow my logic, so make the necessary adjustment and redo the problem.