Предмет: Алгебра, автор: zxq2003

Решите неравенство и изобразите множество его решений
на координатной прямой
1) 12х - 16 > 11х + 2(3х + 2).
2)8 - 5(х + 2) < 4(1 - х).

zxq2003: Help plsssssssssssss

Ответы

Автор ответа: zhenyaM2002

1)
12x - 16 > 10x + 2(3x + 2)
12x - 16 > 10x + 6x + 4
12x - 16 > 16x + 4
12x - 16x > 4 + 16
- 4x > 20 |×(-1) ⇒ меняем знак неравенства
4x < - 20
x < - 5
x∈( - ∞ ; - 5)

2)
8 - 5(х + 2) < 4(1 - x)
8 - 5x - 10 < 4 - 4x
-5x - 2 < 4 - 4x
-5x + 4x < 4 + 2
-x < 6 |× (-1)
x > - 6
x∈ ( - 6 ; +∞ )

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Решите неравенство и изобразите множество его решений на координатной прямой 1) 12х - 16 > 11х + 2(3х + 2). 2)8 - 5(х + 2) < 4(1 - х).

Ответы

Решите неравенство и изобразите множество его решений
на координатной прямой
1) 12х - 16 > 11х + 2(3х + 2).
2)8 - 5(х + 2) < 4(1 - х).