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-x-3>4\times 2
Multiply both sides by 2. Since 2 is positive, the inequality direction remains the same.
-x-3>8
Multiply 4 and 2 to get 8.
-x>8+3
Add 3 to both sides.
-x>11
Add 8 and 3 to get 11.
x<-11
Divide both sides by -1. Since -1 is negative, the inequality direction is changed.