Question

To see how the solution set changes, suppose the coordinate pair (a, b) satisfies the original inequality. If a stays the same, b must be its previous value to satisfy the new inequality.

Answer 1

Greater Than

Explanation:

Answer 2

No, If a stays the same b must be a value within the interval that satisfy the inequality.

Explanation:

An inequality provides an interval as a solution. So, actually the solution of an inequality comprises many coordinate pairs. To show that, let's show this graphically. Instead of (a, b), let's work with numbers.

Let's use as an example a -b <0

1) Suppose a=1, b=3

`a-b<0\\1-3<0\\-2<0 \:True`

2) If a stays the same value, i.e. 1, then b=?

`1-b<0\\-b<-1\\b>1\\\\Plugging \:in\:the\:original\: equation:\\1-2<0\\-1<0 \:True`

Then b>1