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 1206291: The set of all y such that y - 2 is greater than -5 and less than or equal to 7.
Found 2 solutions by MathLover1, greenestamps:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

y+-+2+%3E+-5 and y-2%3C=+7
or, put it this way
-5+%3Cy+-+2+%3C=+7
+-5%2B2+%3Cy+-+2%2B2+%3C=+7%2B2
+-3+%3Cy++%3C=+9
The set of all y is: { -2,-1,0,1,2,3,4,5,6,7,8,9+ }
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Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


Combine the given information in a compound inequality:

-5%3Cy-2%3C=7

Add 2 to all three parts:

-5%2B2%3Cy-2%2B2%3C=7%2B2
-3%3Cy%3C=9

ANSWER (in interval notation): (-3,9]

Note the problem says nothing about y having only integer values, as suggested by the response from the other tutor.