SOLUTION: Find a and b. If -3 < x < 2, then a < x - 6 < b.

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Question 1207690: Find a and b.

If -3 < x < 2, then a < x - 6 < b.


Answer by ikleyn(52852) About Me  (Show Source):
You can put this solution on YOUR website!
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Find a and b.
If -3 < x < 2, then a < x - 6 < b.
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You are given the starting inequality

    -3 < x < 2.


Subtract the number 6 from all three terms.  You will get

    -9 < x-6 < -4.


Compare it with  a < x-6 < b.


Obviously, you should take  a = -9,  b = -4.


ANSWER.  a = -9;  b = -4.

Solved.