Leeviz
Answered

Solve inequality: |x-4|<2x+3

Sagot :

Aragornviz
for x<4
-(x-4)<2x+3
-x+4-2x<3
-3x<3-4
-3x<-1  /:(-1)
x>1/3
x∈(1/3, 4)


for
 x≥4
x-4<2x+3
x-2x<3+4
-x<7
x>-7
Odp. x∈(1/3,+∞)