Question

5. Suppose that a and b are both real numbers such that a < b. What can you conclude about the inequality 1/a < 1/b?

Answer 1

Let's start with the given:
$a$ for any a, b such that a and b are real numbers.

Multiplying by $\frac{1}{a}$ on both sides:
$(\frac{1}{a})a=1$

Now multiply by $\frac{1}{b}$ on both sides:
$(\frac{1}{b})1=\frac{1}{b}$

Then we have:
$\frac{1}{b}$

Then the answer must be c.