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3 years ago

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:

3x +15 > 12

x +5 > 4 . . . . divide by 3

x > -1 . . . . . . .subtract 5

-(3x +15) > 12

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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