Answer to Question #154901 in Calculus for Vishal

Question

Let a,x and y are real numbers so that x < y and a > 0. Then ax < ay.

Priove.

Answer 1

we have a, x and y real numbers         x < y and a > 0

Multiplication and division rules of inequality:

When we multiply both a and b by a positive number, the inequality stays the same.

But when we multiply both a and b by a negative number, the inequality swaps over!

From this rule

If we multiple both side of x < y to a > 0 the inequality stays the same

we consider this inequality  is true

ax < ay