TilianS40157 TilianS40157

29-10-2022
Mathematics

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Solve the inequality.|7x + 3 < 11?] < x <00

Solve the inequality7x 3 lt 11 lt x lt00 class=

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LoghanP599013 LoghanP599013

29-10-2022

Answer: - 2 < x < 8/7

Explanation:

The given expression is

I7x + 3I < 11

It can be written as

- 11 < 7x + 3 < 11

Subtracting 3 from all sides, it becomes

- 11 - 3 < 7x + 3 - 3 < 11 - 3

- 14 < 7x < 8

Dividing all sides by 7, it becomes

- 14/7 < 7x/7 < 8/7

- 2 < x < 8/7

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