Răspuns :

a) [tex]\displaystyle{x}[/tex] + 11 ≥ 7

[tex]\displaystyle{x}[/tex] ≥ 7 - 11

[tex]\displaystyle{x}[/tex] ≥ -4

[tex]\displaystyle{x}[/tex] ∈ {-4, -3, -2, -1, 0, 1, 2, ............., etc........}

b) [tex]\displaystyle{x}[/tex] - 3 ≤ 1

[tex]\displaystyle{x}[/tex] ≤ 1 + 3

[tex]\displaystyle{x}[/tex] ≤ 4

[tex]\displaystyle{x}[/tex] ∈ {4, 3, 2, 1, 0, -1, -2, ..........., etc.........}

c) 7 - [tex]\displaystyle{x}[/tex] < 4

[tex]\displaystyle{x}[/tex] < 7 - 4

[tex]\displaystyle{x}[/tex] < 3

[tex]\displaystyle{x}[/tex] ∈ {2, 1, 0, -1, -2, -3, .........., etc...........}

d) 2[tex]\displaystyle{x}[/tex] ≤ -8

[tex]\displaystyle{x}[/tex] ≤ (-8) ÷ 2

[tex]\displaystyle{x}[/tex] ≤ -4

[tex]\displaystyle{x}[/tex] ∈ {-4, -5, -6, -7, -8, -9, -10, ............., etc...........}

e) -[tex]\displaystyle{x}[/tex] < 6

[tex]\displaystyle{x}[/tex] > -6 (Când înmulțim cu -1, se schimbă semnul)

[tex]\displaystyle{x}[/tex] ∈ {-5, -4, -3, -2, -1, 0, ........................, etc............}

f) -[tex]\displaystyle{x}[/tex] ≥ -2

[tex]\displaystyle{x}[/tex] ≤ 2

[tex]\displaystyle{x}[/tex] ∈ {2, 1, 0, -1, -2, -3, -4, ...................., etc....................}

g) -[tex]\displaystyle{x}[/tex] < 0

[tex]\displaystyle{x}[/tex] > 0

[tex]\displaystyle{x}[/tex] ∈ {1, 2, 3, 4, 5, 6, 7, ................, etc...................}

h) -[tex]\displaystyle{x}[/tex] ≥ 0

[tex]\displaystyle{x}[/tex] ≤ 0

[tex]\displaystyle{x}[/tex] ∈ {0, -1, -2, -3, -4, -5, ..........., etc.......................}

- Lumberjack25