solve function can't solve an inequality

Hello, i'm trying to solve an inequality with the solve command but it gives me an error that tells me it can't solve my equation. Any alternatives to solve or does someone know how to overcome the error? thanks in advance!

[Roberto Lemaitre]

[0 < 320/9 - k/9, 0 < (9*k + (k/9 - 320/9)*(k - 41))/(k/9 - 320/9), 0 < k]

This is the inequality in text form.

Answer 1

[Mitchell Thurston]

I'm able to get a solution with defining k as a real symbolic variable

syms k real
ineqs = [0 < 320/9 - k/9, 0 < (9*k + (k/9 - 320/9)*(k - 41))/(k/9 - 320/9), 0 < k];
A = solve(ineqs, k, 'ReturnConditions', true);

Where A.conditions returns

x < 36*5^(1/2) + 140 & 140 - 36*5^(1/2) < x

[Walter Roberson]

Nice find. I will have to remember that work-around for future.