Question

7. Rezolvă inecuatiile umătoare in multimea numerelor intregi:
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Answer 1

a) $\displaystyle{x}$ + 11 ≥ 7

$\displaystyle{x}$ ≥ 7 - 11

$\displaystyle{x}$ ≥ -4

$\displaystyle{x}$ ∈ {-4, -3, -2, -1, 0, 1, 2, ............., etc........}

b) $\displaystyle{x}$ - 3 ≤ 1

$\displaystyle{x}$ ≤ 1 + 3

$\displaystyle{x}$ ≤ 4

$\displaystyle{x}$ ∈ {4, 3, 2, 1, 0, -1, -2, ..........., etc.........}

c) 7 - $\displaystyle{x}$ < 4

$\displaystyle{x}$ < 7 - 4

$\displaystyle{x}$ < 3

$\displaystyle{x}$ ∈ {2, 1, 0, -1, -2, -3, .........., etc...........}

d) 2$\displaystyle{x}$ ≤ -8

$\displaystyle{x}$ ≤ (-8) ÷ 2

$\displaystyle{x}$ ≤ -4

$\displaystyle{x}$ ∈ {-4, -5, -6, -7, -8, -9, -10, ............., etc...........}

e) -$\displaystyle{x}$ < 6

$\displaystyle{x}$ > -6 (Când înmulțim cu -1, se schimbă semnul)

$\displaystyle{x}$ ∈ {-5, -4, -3, -2, -1, 0, ........................, etc............}

f) -$\displaystyle{x}$ ≥ -2

$\displaystyle{x}$ ≤ 2

$\displaystyle{x}$ ∈ {2, 1, 0, -1, -2, -3, -4, ...................., etc....................}

g) -$\displaystyle{x}$ < 0

$\displaystyle{x}$ > 0

$\displaystyle{x}$ ∈ {1, 2, 3, 4, 5, 6, 7, ................, etc...................}

h) -$\displaystyle{x}$ ≥ 0

$\displaystyle{x}$ ≤ 0

$\displaystyle{x}$ ∈ {0, -1, -2, -3, -4, -5, ..........., etc.......................}

- Lumberjack25