Step-by-step explanation:
a < (a + b)/2 < b
Solve the first inequality.
a < (a + b)/2
2a < a + b
a < b
Solve the second inequality.
(a + b)/2 < b
a + b < 2b
Both inequalities are true. Therefore, a < (a + b)/2 < b.
Answer a < (a + b)/2 < b
