Réponse:
Ex 1
A ∈ ID
B ∈ IN
C ∈ IQ
D ∈ IR
E ∈ IR
Ex 2
a) 4x ≤ 0 <=> x ≤ 0
x ∈ ]-∞ ; 0]
b)
-4x < 0 <=> x > 0
x ∈ ]0 ; +∞[
c)
6+8x ≥ 4x
8x - 4x ≥ -6
4x ≥ -6
x ≥ -6/4
x ≥ -3/2
x ∈ [-3/2; +∞[
d)
|x| < 3
-3 < x < 3
x ∈ ]-3; 3[
e)
|x-2| ≤ 5
-5 ≤ x-2 ≤ 5
-3 ≤ x ≤ 7
x ∈ [-3; 7]
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Réponse:
Ex 1
A ∈ ID
B ∈ IN
C ∈ IQ
D ∈ IR
E ∈ IR
Ex 2
a) 4x ≤ 0 <=> x ≤ 0
x ∈ ]-∞ ; 0]
b)
-4x < 0 <=> x > 0
x ∈ ]0 ; +∞[
c)
6+8x ≥ 4x
8x - 4x ≥ -6
4x ≥ -6
x ≥ -6/4
x ≥ -3/2
x ∈ [-3/2; +∞[
d)
|x| < 3
-3 < x < 3
x ∈ ]-3; 3[
e)
|x-2| ≤ 5
-5 ≤ x-2 ≤ 5
-3 ≤ x ≤ 7
x ∈ [-3; 7]