Question

2^6:4^2:x>6
X diferit de zero

Answer 1

2^6/(4²*x)>6
2^6/(2^4)x >6
2²/x >6
4/x>6

x≠0
A.pt x>0 amplificam cu x, sensul inegalitatii se pastreza
4>6x
6x<4
x<2/3
deci x∈(0;2/3)


B; pt x<0 aplificam cu x, sensul inegalitatii se schimba
4<6x
6x>4
x>2/3  dar cum x<0 ⇒x∈∅


solutie finala x∈(0;2/3)

Answer 2

=2^6:2^2^2:x>6
2^6:2^4:x>6
2^2:x>6
4:x>6
x>6*4
x>24
x = (24,+infinit)