SOLUTION: What is the inequality {{{abs(-3x-9)>=6}}} equivalent to?

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Question 140317: What is the inequality abs%28-3x-9%29%3E=6 equivalent to?


Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
abs%28-3x-9%29%3E=6 Start with the given inequality



Break up the absolute value (remember, if you have abs%28x%29%3E=+a, then x+%3C=+-a or x+%3E=+a)

-3x-9+%3C=+-6 or -3x-9+%3E=+6 Break up the absolute value inequality using the given rule




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Answer:

So the inequality abs%28-3x-9%29%3E=6 to the inequalities -3x-9+%3C=+-6 and -3x-9+%3E=+6. In other words, the last two inequalities make up the original inequality.