If a + b > 5 and a - b < 3, which of the following must be true?
I. a > b
II. b > 1
III. a > 5	Choose the correct choice from the following.
A) I only	B) II only	C) III only	D) II and III only	E) I, II, and III
I. Not true, example: a=3, b=4   II. True, add the equations together so that the greater parts are added. Thus, a + b + 3 &gt; 5 + a - b. Combining like terms, we get 2b &gt; 2. Thus, b &gt; 1.   III. Not true, example: a = r, b = 4   Thus, II only so the answer if II only.
<result>B</result>
If a + b > 5 and a - b < 3, which of the following must be true?
I. a > b
II. b > 1
III. a > 5