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Ανισώσεις με απόλυτα

Total questions: 8

Worksheet time: 4mins

Name
Class
Date
1.

Αν ∣x∣<3\left|x\right|<3  

a)

x < 3

b)

x>-3

c)

-3 < x < 3

d)

x <-3 ή x>3

2.

Aν ∣x−2∣<4\left|x-2\right|<4  

a)

x <4

b)

-4 < x < 4

c)

x<-6 ή x >6

d)

-2<x<6

3.

Aν ∣x∣≥5\left|x\right|\ge5  

a)

x ≥\ge  5

b)

−5≤x≤5-5\le x\le5  

c)

x <-5 ή x >5

d)

x≤−5 ηˊ x≥5x\le-5\ ή\ x\ge5  

4.

Αν 2∣x−1∣ −8 ≤22\left|x-1\right|\ -8\ \le2  

a)

−4≤x≤6-4\le x\le6  

b)

x≤−4 ηˊ x≥6x\le-4\ ή\ x\ge6  

c)

-4 < x <6

d)

x≥6x\ge6  

5.

αν 3∣x+1∣ −7>23\left|x+1\right|\ -7>2  

a)

-4 < x < 2

b)

x < -4 ή x >2

c)

x >2

d)

x<-4

6.

Αν ∣x∣2+1 >∣x∣\frac{\left|x\right|}{2}+1\ >\left|x\right|  

a)

x >2

b)

x < -2 ή x > 2

c)

-2 <x <2

d)

-1 < x <1

7.

Αν ∣x∣+∣x2−x∣≤0\left|x\right|+\left|x^2-x\right|\le0  

a)

x = 0

b)

x =0 ή x=1

c)

x = 1

d)

x = -1

8.

Αν 3∣x∣−∣x∣4≤03\left|x\right|-\frac{\left|x\right|}{4}\le0  

a)

aδύνατη

b)

χ = 0

c)

x≤0x\le0  

d)

−1≤x≤1-1\le x\le1