... A and |b| ≤ B it follows that |a + b| ≤ A + B and |ab| ≤ AB.1.3. Powers and Logarithms1.3.1. Powers and Roots1.3.1-1. Powers and roots: the main definitions.Given a positive real number a and ... b,thenb > a.2. If a ≤ b and b ≤ a,thena = b.3. If a ≤ b and b ≤ c,thena ≤ c.4. If a < b and b ≤ c (or a ≤ b and b < c), then a < c.5. If a < b and c < d (or c = d), then ... a ≤ b and c > 0,thenac ≤ bc.7. If a ≤ b and c < 0,thenac ≥bc.8. If 0 < a ≤ b (or a ≤ b < 0), then 1/a ≥ 1/b.1.3. POWERS AND LOGARITHMS 91.3.1-2. Operations with powers and roots.The...