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  • 19-08-2019
  • Mathematics
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(x+ 5 < 4) n (x-3>-6).

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  • 19-08-2019

Answer:

-3 < x < -1 → x∈(-1, -3)

Step-by-step explanation:

(1)

x + 5 < 4        subtract 5 from both sides

x + 5 - 5 < 4 - 5

x < -1

(2)

x - 3 > -6          add 3 to both sides

x - 3 + 3 > -6 + 3

x > -3

From (1) and (2) we have

x < -1 and x > -3 → -3 < x < -1 → x∈(-1, -3)

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