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Линейные неравенства: истина vs ложь

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Линейные неравенства: истина vs ложь

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Правда и ложь о неравенствах с одной переменной

Created by

yagmurov ramazan
yagmurov ramazan
Kazakhstan

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Линейные неравенства: истина vs ложь
 

Линейные неравенства: истина vs ложьOnline version

Правда и ложь о неравенствах с одной переменной

by yagmurov ramazan
1

При умножении на отрицательное число знак неравенства меняется на обратный.

2

Линейное неравенство одной переменной имеет вид a·x ≤ b, где a ≠ 0.

3

Если a = 0, неравенство 0·x ≤ b всегда истинно.

4

Если a > 0, решение неравенства ax > b находится справа от точки b/a.

5

Знак неравенства зависит только от знака b.

6

При умножении обеих частей неравенства на положительное число знак неравенства не меняется.

7

Любое линейное неравенство решается только графически на плоскости.

8

Коэффициент a не влияет на разделение решений.

9

Граница решения — число x0, удовлетворяющее равенству a·x0 = b.

10

Линейное неравенство ax ≤ b имеет единственное решение x = b/a.

 
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