4 - x < 3
A linear inequality is solved just like an equation except
sometimes in the last step. In the last step
1. if we divide or multiply by a negative number,
the inequality symbol MUST be reversed.
2. If we divide or multiply by a positive number,
the inequality symbol MUST NOT be reversed.
4 - x < 3
Subtract 4 from both sides
-x < 3 - 4
-x < -1
-1x < -1
Now we must divide both sides by -1, which is a
negative number, so the inequality symbol must be reversed
-1x/(-1) > -1/(-1)
x > 1
Edwin
AnlytcPhil@aol.com