1. What is the trichotomy property?

Answer: For any two real numbers, a and b, exactly one of the following statements is true.
a < b, a = b, a > b


2. Solve 4x - 5 < 5x - 8?

Answer:
-4x + 4x - 5 < 5x - 8 - 4x
-5 < x - 8
8 - 5 < x - 8 + 8
3 < x


3. Solve -5m > 25

Answer:
-5m / -5 > 25 / -5 m > -5


4. Solve 0.55x - 0.2 < 0

Answer:
0.50x - 0.2 + 0.2 < 0 + 0.2
0.50x < 0.2
0.50x / 0.50 < 0.2 / 0.50
x < 0.4


5. Solve 4(b - 3) - 3(2b - 4) < 5b + 3

Answer:
4b - 12 - 6b + 12 < 5b + 3
-2b < 5b + 3
-2b - 5b < 5b + 3 - 5b
-7b < 3
-7b / -7 < 3 / -7
b < -3/7

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