Bonjour,
2(x+5) > (x+3)- (x-1)
2x+10 > x+3-x+1
2x+10 > 4
2x > 4-10
x > -6/2
x > -3
S= ]-3;+∞[
4-(2x--1) ≤ 3(4x+1)
4-2x+1 ≤ 12x+3
-2x+5 -12x ≤ 3
-14x ≤ 3 -5
-14x ≤ -2
x ≤ -2/-14
x ≥ 1/7
S= [ 1/7 ; +∞ [.
5-2(x+3) ≥ 2(x+1)-3(x-2)
5-2x-6 ≥ 2x+2-3x+6
-2x-1 ≥ -x+8
-2x+x ≥ 8+1
-x ≥ 9
x ≤ - 9
S= ]-∞ ; -9 ].
3x/14 - 1 < 5/7
3x/14 < 5/7 +1
3x/ 14 < 5/7 + 7/7
3x/14 < 12/7
21x < 14*12
x < 168/21
x < 8
S= ]-∞ ; 8 [
