Part 1) T
Part 2) L
Part 3) A
Part 4) Y
Part 5) T
Part 6) I
Part 7) U
Part 8) A
Part 9) N
Part 10) G
Part 11) B
Part 12) A
Part 13) N
Part 14) R
Part 15) O
The final answer is
A buoyant girl ant
Step-by-step explanation:
see the attached figure to better understand the problem
Part 1) we have
----> inequality A
Divide by both sides
------> the solution inequality A is the interval [-3,β)
-----> inequality B
Adds both sides
Β ------> the solution inequality B is the interval (-β,1)
The solution of the system of inequalities is the interval -----> [-3,1)
The solution is the letter T
Part 2) we have
----> inequality A
Divide by both sides
-----> multiply by
------> the solution inequality A is the interval (-2,β)
-----> inequality B
Adds both sides
Divide by both sides
Β ------> the solution inequality B is the interval (-β,2]
The solution of the system of inequalities is the interval -----> (-2,2]
The solution is the letter L Β Β Β
Part 3) we have
----> inequality A
rewrite
Adds both sides
------> the solution inequality A is the interval (-3,β)
-----> inequality B
Adds both sides
------> the solution inequality B is the interval (-β,2)
The solution of the system of inequalities is the interval -----> (-3,2)
The solution is the letter A Β
Part 4) we have
----> inequality A
rewrite
Adds both sides
Divide by both sides
------> the solution inequality A is the interval [0,β)
-----> inequality B
Adds both sides
Divide by both sides
Β ------> the solution inequality B is the interval (-β,4]
The solution of the system of inequalities is the interval -----> [0,4]
The solution is the letter Y Β Β Β Β Β
Part 5) we have
----> inequality A
rewrite
Adds both sides
Divide by both sides
------> multiply by
------> the solution inequality A is the interval (-β,3]
-----> inequality B
Adds both sides
Divide by both sides
------> multiply by
------> the solution inequality B is the interval (-1,β)
The solution of the system of inequalities is the interval ----->(-1,3]
The solution is the letter T Β Β Β Β
Part 6) we have
----> inequality A
Adds both sides
Divide by both sides
------> the solution inequality A is the interval (-β,-2)
-----> inequality B
Adds both sides
Divide by both sides
------> the solution inequality B is the interval [1,β)
The solution of the system of inequalities is the interval ----->(-β,-2) U [1,β)
The solution is the letter I Β Β Β Β Β Β
Part 7) we have
----> inequality A
Divide by both sides
multiply by
------> the solution inequality A is the interval (-β,-3)
-----> inequality B
Adds both sides
------> the solution inequality B is the interval (-1,β)
The solution of the system of inequalities is the interval ----->(-β,-3) U (-1,β)
The solution is the letter U Β
Part 8) we have Β
----> inequality A Β
Adds both sides
Divide by both sides
-----> multiply by
------> the solution inequality A is the interval (-β,0]
-----> inequality B
Divide by both sides
------> the solution inequality B is the interval (3,β)
The solution of the system of inequalities is the interval ----->(-β,0] U (3,β)
The solution is the letter A Β
see the complete answer in the attached file