CORRIGES :

EXERCICE I :

A-

1) 56 <120

2) 2 >-10

3) -34 >-70

4) 58 >-12

5) |-24| >15

6) |57| < 89

B-

a)==  et x=  =>  =>

x= et x= =>

c)  x=  et  x= => <  =>

d) x = et   x= =>=>  <

e) x= et  x= =>

C-

EXERCICE II :

1.

a-   x+3<8+3  => x+3<11

b-   x-7≤8-7 => x-7≤1

c-   -8+x≤-8+8  =>-8+x≤0

2.  

a- x-1,02 < x-1,002

b- 50/51+ > 50/51 +3,14

c- -3xπ  < -3x3,14

EXERCICE III :

1.

a-  x≥5  <= >4x>4x5 <= >4x≥20

b- x≥5  <= >0,1x>0,1x5 <= >0,1x≥0,5

c- x≥5  <= >2/3x>2/3 x5 <= >2/3x≥10/3

2.

a-  1,5x > 1,05x

b-50/51xπ > 50/51x3,14

c-  -3xπ  < -3x3,14

EXERCICE IV :

1. 1,414<Ѵ2<1,415     <=>3x1,414<3Ѵ2<3x1,415

                                  <=>4+3x1,414<4+3Ѵ2<4+3x1,415

                                    <=> 8,242<4+3Ѵ2<8,245

2. 1,732<<1,733 <=>2x1,732<2Ѵ3<2x1,733

                                  <=>4+2x1,732<4+2Ѵ3<4+2x1,733

                                    <=>  7,46<4+2Ѵ3<7,47

EXERCICE V :

1) 4,25 ; 2,15 ; 0 ; 1,99

 2,5 ≤ x < 2,6

2) 4,26 ; 2,16 ; 0 ; 2

2,45 ≤ x < 2,55