Solve the absolute value inequality |x+9| > 3

Mathematics

1 answer:

Studentka2010 [4]3 years ago

8 0

Answer:

x>−6,x<−12

Step-by-step explanation:

Break down the problem into these 2 equations.

x+9>3x+9>3

-(x+9)>3−(x+9)>3

Solve the 1st equation: x+9>3x+9>3.

x>-6x>−6

3 Solve the 2nd equation: -(x+9)>3−(x+9)>3.

x<-12x<−12

Collect all solutions.

x>-6,x<-12x>−6,x<−12

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