Question

Suppose a < -1. What must be true about the value about the value of b so that ab< a?-1 < b < 00 < b < 1b < -1 b > 1

Answer 1

b > 1

Step-by-step explanation

Suppose that a < -1.

We need to find the value of b such that:

a * b < a

This means that:

a * b < -1

For this to be possible, b must first be a positive number. Because if b is negative, then:

a * b > 0

Which would mean that a * b is greater than a.

For b to be a positive number that satisfies the inequality, then b cannot be less than 1. This is because if b is less than 1, then:

a * b > a

Therefore, b must be a positive number that is greater than 1.

This means that:

b > 1