March 30, 2017

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How do I do this question:

-6|7-x|< -30

So far I have that x=2, but I know that it's more than just 2. How do I denote/find that?

first of all isolate the absolute value expression by dividing by -6, remembering that we have to reverse the inequality sign if we divide or multiply by a negative.
|7-x| > 5

then 7-x > 5 OR -7 + x > 5
-x > -2 OR x > 12
x < 2 OR x > 12

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