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Step2247 [10]
3 years ago
10

I don’t know how to solve this

Mathematics
1 answer:
sleet_krkn [62]3 years ago
6 0

9514 1404 393

Answer:

  x ∈ (-∞, 9) U (-1, ∞)

Step-by-step explanation:

Get the absolute value by itself. Do that by multiplying by 4.

  |3x +15| > 12

This resolves to two cases:

<u>3x +15 > 12</u>

  x +5 > 4 . . . . divide by 3

  x > -1 . . . . . . .subtract 5

<u>-(3x +15) > 12</u>

  x +5 < -4 . . . . divide by -3

  x < -9 . . . . . . . subtract 5

Then the solution in interval notation is ...

  x ∈ (-∞, 9) U (-1, ∞)

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