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Soustavy nerovnic - GJŠ Zlín - Student - Gymnázium a Jazyková ...

Soustavy nerovnic - GJŠ Zlín - Student - Gymnázium a Jazyková ...

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<strong>Soustavy</strong> <strong>nerovnic</strong><br />

<strong>Soustavy</strong> <strong>nerovnic</strong> o jedné neznámé (7. - 8. lekce)<br />

Pˇríklad 2<br />

Pˇríklad 2<br />

ˇRešte v R soustavu <strong>nerovnic</strong>:<br />

ˇRešení: Podmínka: x = 0<br />

4x + 12 x<br />

−<br />

3x 3<br />

4x + 12 − x2 3x<br />

4 4 x<br />

3 + x ≤ 3<br />

1 1 x<br />

2 + x ≤ 2 .<br />

≤ 0 ∧<br />

≤ 0 ∧<br />

x + 2 x<br />

−<br />

2x 2<br />

≤ 0<br />

x + 2 − x2<br />

2x<br />

≤ 0

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