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.

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

Step-by-step 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

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

Then b>1

answer: all of the odd numbers were opened

the first person was the one that was opening all of the lockers. since one is odd, this causes all of the odd number lockers to be opened in the end.