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  • 06-11-2020
  • Mathematics
contestada

Solve the inequality and express your answer in interval notation
x^2+8x-7<0

Respuesta :

mhanifa
mhanifa mhanifa
  • 07-11-2020

Answer:

  • (-8.8, 0.8)

Step-by-step explanation:

  • x^2+8x-7<0
  • x^2 + 8x + 16 - 23 < 0
  • (x + 4)^2 < 23
  • |x + 4| < √23 ≈ 4.8

1 .

  • x + 4 < 4.8
  • x < 0.8

2.

  • -(x + 4) < 4.8
  • x + 4 > - 4.8
  • x > - 8.8

Combination of the two intervals:

  • x = (-8.8, 0.8)

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