solve each inequality and graph its solution a. 2x> -12 b. y + 5 _>2 c. x\4 _> -1 d.6z-3-5z<4

Answer 1

a. 2X> -12.

X > -6.
Graph: Open circle at -6 with arrow
pointing rt. The open circle means that
-6 is NOT a part of the solution.
Always use the OPEN circle when there is no equal sign in your inequality.

Solution Set:

b. Y + 5 >= 2.
Y >= 2 - 5,
Y >= -3.
Graph: Closed circle at -3 with arrow
pointing rt. The closed circle means
that -3 is a part of the solution.

The Solution Set: Y = -3, and all values of Y > -3.

Answer 2

a. Solution Set: All values of X > -6.