There has to be an x somewhere, otherwise this makes no sense.
- 2 < (x - 3)/3 <= 7 might be one possiblity. I'll consider the other in a moment. Multiply by 3
-6 < (x - 3 ) =< 21 Add 3
-3 < x <= 24
So x is between -3 and 24 and includes 24
(-3 , 24 ] is the way you would show it.
Possibility 2.
=========
-2 <(1 - 3x)/3 <= 7
- 6 < 1 - 3x <= 21 Subtract 1
-7 < - 3x <= 20 Tricky part. Divide by - 3
7/3 > x >= - 20/3 Notice the interval switches around
[-20/3,7/3)
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Verified answer
There has to be an x somewhere, otherwise this makes no sense.
- 2 < (x - 3)/3 <= 7 might be one possiblity. I'll consider the other in a moment. Multiply by 3
-6 < (x - 3 ) =< 21 Add 3
-3 < x <= 24
So x is between -3 and 24 and includes 24
(-3 , 24 ] is the way you would show it.
Possibility 2.
=========
-2 <(1 - 3x)/3 <= 7
- 6 < 1 - 3x <= 21 Subtract 1
-7 < - 3x <= 20 Tricky part. Divide by - 3
7/3 > x >= - 20/3 Notice the interval switches around
[-20/3,7/3)