Răspuns:
ex1
a) |x|=5.
x1=-5
x2=5
b) |x+1|=3
x+1=3
x+1=-3
x=2
x=-4
x1=-4. x2=2
c) |2x+1|=7
2x+1=7
2x+1=-7
x=3
x=-4
x1=-4. x2=3
d). 5|x|-3=2|x|
5|x|-2|x|=3
3|x|=3
|x|=1
x=1. x1=-1
x=-1. x2=1
e). |2x-3|=4
2x-3=4
2x-4=-4
x1=1/2
x2=7/2
f). |x+3|=-10
x€∅
EX2.
a) x≤3. x≥0
x≥-3. x<0
x€[-3,0]
x€[0,3]
x€[-3,3]
b) |x+5|≤10
x+5≤10. x+5≥0
-(x+5)≤10 x+5≤0
x≤5 x≥-5
x≥-15. x<-5
x€[-15,5]
c) |x-3|<-3
x€∅
EX3
a) |2la30-3la puterea20| =3la puterea20-2la puterea 30
b) |-7|+|7|-|-14|+|0|
7-7-14+0=-14