bonjour
1)
AB = |xB - xA|= |-3 - 1| = |-4| = 4
AM = |xM - xA| = |x - 1|
2)
A = |5 - 7| - 2|20 + 2| + 3|1/3 - 2| - 8
= |-2| - 2|22| + 3|1/3 - 6/3| - 8
= 2 - 2 x 22 + 3|-5/3| - 8
= 2 - 44 + 3 x 5/3 - 8
= 2 - 44 + 5 - 8
= - 45
B = |√2 - 1| + 3|-3 + √2| - 4√2
√2 - 1 >0 => |√2 - 1| = √2 - 1
- 3 + √2 < 0 sa valeur absolue est l'opposé du nombre =>
|-3 + √2| = 3 - √2
B = √2 - 1 + 3(3 - √2) - 4√2
= √2 - 1 + 9 - 3√2 - 4√2
= 8 - 6√2
3)
|x - 1| = 3 <=> x - 1 = 3 ou x - 1 = -3
x = 4 ou x = -2
S = {-2 ; 4}
4)
|y + 2| ≤ 2 <=> -2 ≤ y + 2 ≤ 2
-2 -2 ≤ y + 2 - 2 ≤ 2 - 2
-4 ≤ y ≤ 0
S = [-4 ; 0]
