ms4447 ms4447
  • 24-02-2024
  • Mathematics
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Solve the absolute-value inequality. Express the answer using interval notation.

Solve the absolutevalue inequality Express the answer using interval notation class=

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georgepahno georgepahno
  • 24-02-2024

Answer:

[tex] | \frac{x + 5}{2} | \geqslant 3[/tex]

[tex] \frac{x + 5}{2} \leqslant - 3 \: or \: \frac{x + 5}{2} \geqslant 3[/tex]

[tex]x + 5 \leqslant - 6 \: or \: x + 5 \geqslant 6[/tex]

[tex]x \leqslant - 11 \: or \: x \geqslant 1[/tex]

(-infinity, -11] U [1, infinity)

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