SOLUTION: The set of all y such that y - 2 is greater than -5 and less than or equal to 7.

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Question 1206313: The set of all y such that y - 2 is greater than -5 and less than or equal to 7.
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

They want you solve this compound inequality

    -5 < y-2 <= 7.


Add 2 to the left, middle and right sides of this inequality.  You will get

    -5+2 < (y-2) + 2 <= 7+2,

or

    -3 < y <= 9.


At this point, the problem is just solved.


The solution is this infinite set of real numbers -3 < y <= 9.    ANSWER

Solved.

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On solving compound inequalities,  see the lesson
    - Solving compound inequalities
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