`2(x-1) lt x+ 5,3 (x+2) gt 2-x`

Solve the inequalities (2x-1) lt x + 5, 3(x+2) gt 2-x

2x - y gt 1 , x - 2y lt 1

f(x)={{:(x^(2),if x le 1),(x, if 1 lt x le 2),(x-3,if x gt 2):} then Lt_(x to 2+) f(x)=

If f(x)={{:(x+2, -1 lt x lt 3), (5, x=3), (8-x, x gt 3):} , then at x=3, f'(x) is

Show that the function f defined as follows, is continuoius at x=2, but not differentiable at x=2. f(x)={{:(3x-2, 0 lt x le 1),(2x^(2)-x, 1 lt x le 2),(5x-4,x gt 2):} .