Question

Let a and b be real numbers. Then show that 0(1)/(b)<(1)/(a).

Answer 1

To show that 0 * (1/b) < 1/a, we can simplify both sides of the inequality.

Step-by-step explanation:

In order to show that 0 * (1/b) < 1/a, we can simplify the expression on the left side. Multiplying any number by 0 always results in 0, so the left side becomes 0. On the right side, dividing 1 by any positive number always results in a number less than 1, so the right side becomes less than 1.

Therefore, we have shown that 0 * (1/b) < 1/a.