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To say that any expression is between a lower number L and
a higher number H is written
L < expression < H
"five plus the quantity of (seven minus a number)"
↓ ↓ ↓ ↓ ↓
5 + ( 7 - N )
The translated expression is 5+(7-N)
Since it is between 1 and 5, we write
1 < 5+(7-N) < 5 <-- this was all you asked for.
To solve it simplify by removing the parentheses:
1 < 5+7-N < 5
1 < 12-N < 5
Add -12 to all three sides:
1 < 12-N < 5
-12 -12 -12
---------------
-11 < -N < -7
We divide all three sides by -1 which
reverses the inequalitiy signs
11 > N > 7
That a case of "LARGE > MEDIUM > SMALL"
which can be written "SMALL < MEDIUM < LARGE"
7 < N < 11
Edwin
