aguzman25421
aguzman25421 aguzman25421
  • 08-09-2021
  • Mathematics
contestada

Solve |y + 2| > 6

a, {y|y < -8 or y > 4}
b, {y|y < -6 or y > 6}
c, {y|y < -4 or y > 4}

Respuesta :

Happil
Happil Happil
  • 08-09-2021

Answer:

Choice A

Step-by-step explanation:

Given:

[tex]|y +2| > 2[/tex]

Solving for the negative part:

[tex]-(y +2) > 6 \\ y +2 < -6 \\ y < -8[/tex]

Solving for the positive part:

[tex]y +2 > 6 \\ y > 4[/tex]

[tex]y \in \{\space \mathbb{R} \space| y < -8\text{ or }y > 4\}[/tex]

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