dtfuyti Flashcards

1
Q

Неравенства с модулями и корнями можно

A

решать графически

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2
Q

(|f(x)|-|g(x)|) / h(x) V 0 ⇔

A

(f(x) - g(x)) (f(x) + g(x)) / h(x) V 0

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3
Q

|f(x)|+|g(x)|

A

≥ 0

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4
Q

|f(x)|- g(x) > 0 ⇔

A
⎡f(x) > g(x)
⎣f(x) < -g(x)
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5
Q

|f(x)|- g(x) < 0 ⇔

A
⎰f(x) < g(x)
⎱f(x) > -g(x)
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6
Q

(|f| - g) / h V 0

A

⎡⎰g < 0
⎢⎱h V(строго) 0
⎢⎰g ≥ 0
⎣⎱(f² -g²) / h V 0

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7
Q

√f - √g / h V 0 ⇔

A

⎧f ≥ 0
⎨g ≥ 0
⎩(f - g) / h V 0
– – – – – – – – – – – – – – – – –

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