Question

Write a linear inequality in two variables that has (-1, 3) as a solution but does not have (4,0) as a solution.

Answer 1

Answer: y ≤ -x + 2

Explanation:

There are an infinite number of possible solutions.

Plot the two points, draw any line between them such that the two points are NOT connected, then choose the inequality symbol that shades (-1, 3).

Here is one solution that satisfies the requirements. y ≤ -x + 2

Here is another: y < -x + 3

And another: y > x + 3

And one more: y ≥ x + 4