7 < -5x + 2 ≤ 32
Subtracting 2 each term:
7 - 2 < -5x + 2 - 2 ≤ 32 - 2
5 < -5x ≤ 30
Dividing by -5 each term (Note that dividing by a negative number changes the symbols)
5/(-5) > -5x/(-5) ≥ 30/(-5)
-1 > x ≥ -6
In the number line it is
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