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When you multiply/divide by a negative number while solving the inequality, you reverse the symbol.
A.) 4(5 - y) ≥ 80 To solve this, isolate/get the variable "y" by itself in the inequality. Divide 4 on both sides
5 - y ≥ 20 Subtract 5 on both sides
5 - 5 - y ≥ 20 - 5
-y ≥ 15 Divide -1 on both sides to get "y" by itself
Because you are dividing by a negative number, you need to reverse the sign
y ≤ -15
B.) 2(y - 3) ≥ 8 Isolate "y", divide 2 on both sides
y - 3 ≥ 4 Add 3 on both sides to get "y" by itself
y ≥ 7
C.) 3y - 4 > 1 Add 4 on both sides
3y > 1 Divide 3 on both sides to get "y" by itself
D.) Isolate "y", add 3/4 on both sides
6y > 1 Divide 6 on both sides to get "y" by itseld