Question

Explain the reasoning please

Answer 1

Step-by-step explanation:

Something to keep in mind is that anything greater than 0 is positive and anything less than 0 is negative

a is to the right of 0 and 1 making it a positive number

b is to the left of 0 making is a negative number

A. a is greater than 1 and b is a negative number

negative number * positive number = negative number

We already know that a is greater than 1 so ab has to be much less than -1 making ab+1 a negative expression

B. Looking at the number line, you can tell that the distance between 1 and a is a bit less than the distance between 0 and 1

This means that a= 1.x not 2

Because of this, a-2 is negative

C. -b

b is a negative number which means that -b would be positive

D. a+b

Looking at the number line, you can tell that the distance between 0 and a is less than the distance between 0 and b

Therefore, a+b is negative

E. a-b

Since b is already negative, the expression would simplify to two positive numbers being added

This means that a-b can't be negative

F. a-1

The number line shows us that a is greater than 1, therefore, a minus 1 would be positive

I hope this helps in some way or another

Answer 2

A minus one would be positive