Question

решите неравенство: log 0.5 (1-2x) > -2

Answer 1

log0.5 (1-2x) > -2

log1/2(1-2x)>-2
log2^-1 (1-2x) > -2
-log2(1-2x) > -2
-(log2(1-2x)) > - (log2 4)
-(1-2x) > -4
-1+2x > -4
2x > -3
x > -1.5

Answer 2

log 0,5 (1-2x)>-2
0<0,5<1
{1-2x<-2   {-2x<-2-1   {-2x<-3   {x>1,5
{1-2x>0    {-2x>-1      {x<0,5     {x<0,5