Question

Lin multiplies 7/8 times a number.the product is less than 7/8 . Which could be Lin’s number ?

Answer 1

Answer:

Any number less than 1

Step-by-step explanation:

Let x be the number Lin multiplies by 7/8. So, we have:

(7/8)*x < 7/8

We need to find the possible values for x. Lets start by dividing both sides of our inequality by (7/8) in order to get x alone on the left side.

(7/8)*x / (7/8) < (7/8)/(7/8)

Reordering:

(7/8) / (7/8) * x < (7/8)/(7/8)

As any number divided by itself (except from 0) is equal to 1:

x < 1

So, the number that Lin multiplied by 7/8 MUST be less than 1. This is evident, as any positive number multiplied by a number less than 1 will decrease, doesn't matter if its a negative or positive number.

So, such number is less than 1. Any number less than 1 could be Lin's number.