james80618 james80618
  • 09-07-2021
  • Mathematics
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What is the solution to |x + 2| < 1?

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wegnerkolmp2741o
wegnerkolmp2741o wegnerkolmp2741o
  • 09-07-2021

Answer:

-3 <x <-1

Step-by-step explanation:

|x + 2| < 1

There are two solutions, one positive and one negative ( remember to flip the inequality for the negative)

x+2 <1    and  x+2 > -1

Subtract 2 from each side

x+2-2 < 1-2  and  x+2-2 > -1-2

x < -1      and       x >-3

-3 <x <-1

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