Question

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Sunt exerciții cu module
Este urgent!

Answer 1

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