Linear Inequalities in Two Variables

Directions: Create 5 ordered pairs using the whole digits 0 – 9 exactly one time each. Then, create a linear inequality such that:
1. Two of the ordered pairs are solutions to the linear inequality.
2. Two of the ordered pairs are not solutions to the linear inequality.
3. One of the ordered pairs is on the boundary line but not a solution to the linear inequality.

Hint

How can you tell if an ordered pair is a solution (or not a solution) for the linear inequality?

When can an ordered pair be on the boundary line but not a solution?

Answer

There are many answers that could work as long as:

(1.) Two of the ordered pairs are in the boundary region or solutions to the linear inequality
(2.) Two of the ordered pairs are not in the boundary region or not solutions to the linear inequality
(3.) The inequality is either less than or greater than but not or equal to. Click on this link to see one possibility:Linear Inequalities in Two Variables

Source: Daniel Luevanos

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