SOLUTION: which of the following is the solution set of the inequality?
4-7|x/2-3| >= -3
the answer is [4,8]
i solved for x and got 8, but it is obviously the y exponent. i don'
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Question 701912: which of the following is the solution set of the inequality?
4-7|x/2-3| >= -3
the answer is [4,8]
i solved for x and got 8, but it is obviously the y exponent. i don't understand.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
4-7|x/2-3| >= -3
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Subtract 4
-7|x/2-3| >= -7
Divide by -7, note change from > to <
|x/2-3| <= 1
|x - 6| <= 2
---------------
x - 6 <= 2
x <= 8
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-(x - 6) <= 2
x - 6 >= -2
x >= 4
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It's not just the point [4,8] it's all values between 4 and 8 inclusive.
[4,8] is another way of saying 4 <= x <= 8
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