a)
\frac{3}{2}x-\frac{x-5}{4}<\frac{5}{2} \ |*4
6x-(x-5)<10
6x-x+5<10 \ |-5 od obu stron równania
5x<5 \ |:5
x<1
x\in (-\infty;1)
b)
\frac{x+\pi}{\pi}<\frac{x+\pi}{3}
\frac{x+\pi}{\pi}-\frac{x+\pi}{3} <0\ |*3\pi
3(x+\pi)-\pi (x+\pi)<0
3x+3\pi -\pi x-\pi ^2<0
3x-\pi x-\pi^2+3\pi<0
x(3-\pi)<\pi ^2-3\pi \ |:(3-\pi) …3-\pi <0 zmiana znaku
x>\frac{\pi^2-3\pi}{3-\pi}
x>\frac{-\pi (3-\pi)}{3-\pi}
x>-\pi
x\in (-\pi;+\infty)