Answer to Question #178677 in Discrete Mathematics for saadia

Question

For any rational numbers r and s, 2r + 3s is rational.

Answer 1

Solution:

Given that r and s are rational numbers.

So, 2r and 3s are also rational as the product of rational with rational is rational.

Now, 2r + 3s is also rational as the sum of rationals is rational.

Hence, 2r + 3s is rational.