Question

Ajutați-mă vă rog frumos...

Answer 1

1)
3x-5≤5x+7, 2x≥ -12, x≥ -6, A∈[-6,∞)
2)
| 2x+9 |≤5
2x+9≤5, x≤ -2
2x+9≥ -5, x≥-7, B∈[-7,-2]
3)
-9≤2x-5<3
2x-5<3, x<4
2x-5≥-9, x≥-2, C∈[-2,4)

A∪B=[-7,∞)
A∩B=[-6,-2]
A-B=(-2,∞)
A∪C=A
A∩C=[-2,4)
B∩C={-2}
B-C=[-7,-2)
C-B=(-2,4)
A∩N=N
B∩Z={-7,-6,-5,-4,-3,-2}
A∩Z=D∪N
unde D={-6,-5,-4,-3,-2, -1}