MaplePrimes - answers and comments on Question, Play a simple melody

Solution

Kitonum — Sat, 08 Dec 2012 23:06:49 Z

3^((x+3)/(5*x-2))-4 >= 5*3^((9*x-7)/(5*x-2)): # The original inequality

convert((x+3)/(5*x-2), parfrac);

convert((9*x-7)/(5*x-2), parfrac);

# Change in the original inequality y=3^(17/5/(5*x-2))

solve(5*(3^(9/5))/y<=(3^(1/5))*y-4, y); # Solution for y

solve(3^(17/5/(5*x-2))>=3*3^(4/5)); # The final result

Markiyan Hirnyk — Sat, 08 Dec 2012 23:17:40 Z

By the way, that is implemented in Mathematica which solves this inequality.

Markiyan Hirnyk — Sat, 08 Dec 2012 23:27:45 Z

Could you kindly explain the change? I obtain

The same with

PS. Also I can't produce this change by Menu/Edit/ Find/Replace neither in 2D nor in 1D.

PPS. I have just succeeded in it.

Markiyan Hirnyk — Sat, 08 Dec 2012 23:55:02 Z

Kitonum — Sun, 09 Dec 2012 00:01:36 Z

Mathematica solves this inequality directly: