Răspuns:
Explicație pas cu pas:
c)
-9 < (5x + 12)/2 < 16
-18 < 5x + 12 < 32
-30 < 5x < 20
-6 < x < 4
A = (-6, 4)
_____
-8 < (7x + 12)/2 ≤ 27
-16 < 7x + 12 ≤ 54
-28 < 7x ≤ 42
-4 < x ≤ 6
B = (-4, 6]
------
A = (-6, 4); B = (-4, 6]
A U B = (-6, 6]
A ∩ B = (-4, 4)
A \ B = (-6, -4]
B \ A = [4, 6]
____________________________
d)
-1 < (4x + 10)/2 < 13
-2 < 4x + 10 < 26
-12 < 4x < 16
-3 < x < 4
A = (-3, 4)
3 < (2x + 14)/2 < 12
6 < 2x + 14 < 24
-8 < 2x < 10
-4 < x < 5
B = (-4, 5)
______
A = (-3, 4); B = (-4, 5)
A U B = (-4,5)
A ∩ B = (-3, 4)
A \ B = ∅
B \ A = [4,5)
