Question

Rozwiąż nierówność :

a) |3y + 5 |≤ 4

b) |x+3| > 3

c) |4z + 1| > 5

d) |3-5x| - 2 > 0

Answer 1

I3y+5I <=4

3y+5 <=4

3y <=4-5

3y <=-1 /3

y <=-1/3

 

3y+5>=-4

3y>=-4-5

3y>=-9  /3

y>=-3

 

2.Ix+3I>3

x>3-3

x>0

 

x+3<-3

x<-3-3

x<-6

 

3.

I4z+1I>5

4z>5-1

4z>4 /4

z=1

 

4z+1<-5

4z<-5-1

4z<-6  /4

z<-6/4

z<-3/2

 

4.I3-5xI-2>0

3-5x-2>0

-5x>-3+2

-5x>-1 /-5

x>1/5

 

3-5x-2<0

-5x<2-3

-5x<-1

x<1/5