| x- 2 | + | x - 3 | ≥ 1 , orice x∈ R
x - ∞ 2 3 +∞
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| x -2| -- 0 + + +
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|x- 3 | -- -- -- 0 +
daca x ≤ 2 x∈[2;3] x ≥ 3
-x +2 -x +3 ≥1 x-2-x+3≥1 x -2 +x -3≥1
5 - 2x ≥1 1 ≥ 1 2x -5 ≥1
5-1 ≥ 2x adevarat 2x ≥ 1 +5
2x ≤ 4 2x ≥ 6
x≤ 2 x ≥ 3
adevarat adevarat
⇒ adevarat oricare ar fi x ∈ R