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Liono4ka [1.6K]
3 years ago
12

Need help -2<2×-3<1​

Mathematics
2 answers:
aleksandrvk [35]3 years ago
7 0

Answer:

1/2 < x < 2

Step-by-step explanation:

-2<2x-3<1​

Add 3 to all sides

-2+3<2x-3+3<1​+3

1<2x<4

Divide all sides by 2

1/2 < 2x/2 <4/2

1/2 < x < 2

kozerog [31]3 years ago
4 0

Answer:

-2 < 2x - 3 < 1 \ = \ \frac{1}{2} < x < 2

Step-by-step explanation:

-2 < 2x - 3 < 1\\\\-2 + 3 < 2x - 3 + 3 < 1 + 3 \ \ \ \ \ \ \ \  \ \ \ \ \ \  \ \ \ \ \ \ [ \ adding \  by\  3 \ ]\\\\1 < 2x + 0 < 4\\\\1 < 2x < 4\\\\\frac{1}{2} < \frac{2x}{2} < \frac{4}{2} \ \  \ \ \ \ \ \ \ \ \  \ \ \  \ \ \ \ \ \ \ \ [ \ divide \ by \ 2 \ ]\\\\\frac{1}{2} < x < 2

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